QUANTUM FEST 2016eventos.fis.cinvestav.mx/quantumfest/bookQF16.pdf · 2016. 10. 14. ·...

Booklet of Abstracts

QUANTUM

FEST 2016

Foreword

The Quantum Fest is a conference addressed to promote and encouragethe research on quantum phenomena, quantum control, spectral design andquantum optics. The aim of this meeting is to bring together students andresearchers which are engaged in these subjects, from both theoretical andexperimental approaches, in order to get lively discussions and to enable acloser contact between them.

The Festival has been celebrated in the Physics Department of the Centerfor Research and Advanced Studies (Cinvestav), 2010, 2011 and 2014, inthe Tecnológico de Monterrey, Campus Estado de México (TM-CEM), 2012and 2015, and in the Unidad Profesional Interdisciplinaria en Ingeniería yTecnologías Avanzadas (UPIITA) del Instituto Politécnico Nacional, 2013.

This year, from October 17 to 21, we celebrate the seventh Quantum Fest

in the a Unidad Profesional Interdisciplinaria en Ingeniería y TecnologíasAvanzadas del Instituto Politécnico Nacional. It would not have been pos-sible without the valuable financial and administrative support of: InstitutoPolitécnico Nacional, UPIITA, Cinvestav and the Bar Quantum.

QUANTUM FEST ORGANIZATION

Organizing Committee

Sara Cruz y Cruz (UPIITA-IPN)Zurika Blanco (Cinvestav)

Zulema Gress (UPIITA-IPN)

Sponsors

The Quantum Fest 2016 has received financial support from the followinginstitutions and organizations

Instituto Politécnico Nacional

Centro de Investigación y de Estudios Avanzados (Cinvestav)

The Bar Quantum

Short Courses

1. Quantum resonances, theory and models – Manuel Gadella . . . 1

2. Introduction to Hilbert space operators – Maribel Loaiza . . . . . 1

3. Towards mathematical modelling of QFT in real 2D metamaterials:singular potentials and selfadjoint extensionss – Luis Miguel Nieto 2

4. Nonclassical states of light – Oscar Rosas-Ortiz . . . . . . . . . . 2

Plenary Talks

1. Solvable non-Hermitian systems in quantum mechanics – Bijan Bagchi

3

2. Superconductivity at ambient pressure – Rafael Baquero . . . . . 3

3. Extremal density matrices for the expectation value of qudit Hamil-tonians – Octavio Castaños . . . . . . . . . . . . . . . . . . . . . 4

4. Ladder operators and coherent states for supersymmetric partnersof solvable systems – Veronique Hussin . . . . . . . . . . . . . . . 4

5. Richardson’s solutions in the continuum spectrum of energy – Rodolfo

Id Betan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

6. The puzzle of the empty bottle – Bogdan Mielnik . . . . . . . . . 5

7. Exotic supersymmetry and nonlinear integrable systems – Mikhail

Plyushchay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

8. Essential Spectrum of Quantum Graphs – Vladimir Rabinovitch 6

9. Nonlinear response of a harmonic diatomic molecule: Algebraic non-perturbative calculation – José Récamier . . . . . . . . . . . . . . 7

10. Quantum Theory from a Non−Conventional Perspective – Dieter

Schuch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

i

Contributions

1. Explicit dispersion relation of the leaky modes in a non-homogeneouswaveguide – Víctor Barrera . . . . . . . . . . . . . . . . . . . . . 9

2. Time dependent confluent supersymmetric quantum mechanics –Alonso Contreras Astorga . . . . . . . . . . . . . . . . . . . . . . 10

3. Analysis of one-dimensional photonic waveguides using the SpectralParameter Power Series Method – Raúl Castillo . . . . . . . . . . 11

4. Paraxial wave optics and generalized coherent states – Sara Cruz y

Cruz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12

5. Universal quantum gates for Quantum Computation on magneticsystems ruled by Heisenberg−Ising interactions – Francisco Delgado 12

6. Generalized Equations and Their Solutions in the (S,0)+(0,S) Rep-resentations of the Lorentz Group – Valeriy Dvoeglazov . . . . . . 13

7. One qubit time-dependent Hamiltonians, Hubbard operators andthe going-backwards approach – Marco Enríquez . . . . . . . . . 14

8. Interlace properties for the real and imaginary parts of the wavefunctions of complex-valued potentials with real spectrum – Alfonso

Jaimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

9. Embeddings of quregisters into special linear groups – Guillermo

Morales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

10. The anticorrelation experiment of Grangier et al. with a classicalsource – Víctor Velázquez . . . . . . . . . . . . . . . . . . . . . . 15

Posters

1. Bonding interaction between metals in the Os3(CO)12 and H2Os3(CO)10clusters: a density functional theory approach – Rodrigo José Alvarez

Montero Méndez . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

2. Correlation function of second order spdc infrared photons – Adrián

Aupart Acosta . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

ii

3. Design and Construction of Homodyne Detectors for Quantum To-mography – Erick Barrios . . . . . . . . . . . . . . . . . . . . . . 18

4. Stability of Quantum Loops and Exchange Operations in the con-struction of quantum computation gates – Diego Bermúdez . . . . 18

5. Quantum control of the states of light in a Mach-Zehnder interfer-ometer – Zurika Blanco . . . . . . . . . . . . . . . . . . . . . . . . 19

6. Spectral description of open waveguides with axial symmetry – Iván

Alejandro Bocanegra Garay . . . . . . . . . . . . . . . . . . . . . 19

7. The Harmonic Oscillator according to the Scale Relativity Frame-work – Moïse Bonilla . . . . . . . . . . . . . . . . . . . . . . . . . 20

8. There is a quantum origin in the biological memory? – Lucero Cano

Santamaría . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

9. One photon interference in the Mach−Zehnder interferometer – Jo-

sué Cantera . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20

10. The Dirac concept of interference – Raúl Caudillo Viurquez . . . 21

11. Modeling to SMA spring actuators, for applications in robotics –Ricardo Alan Cortez Vega . . . . . . . . . . . . . . . . . . . . . . 21

12. Interference of light with definite orbital angular momentum – Nidia

Escamilla Bojorges . . . . . . . . . . . . . . . . . . . . . . . . . . 22

13. Two dimensional system ruled by Heisenberg-Weyl algebra with firstorder ladder operators – Mario Estrada . . . . . . . . . . . . . . . 22

14. Quatum difraction of one phton in a square beamsplitter arrange-ment – Héctor González . . . . . . . . . . . . . . . . . . . . . . . 23

15. Families of coherent states of Hermite-Gaussian modes in a mediumwith quadratic refractive index profile – Zulema Gress Mendoza . 23

16. Complexity in the nuclear states of 48Ca – Diego Alberto Lara Bustil-

los . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

iii

17. The anticorrelation of single photons in the Grangier experimentrevisited – Mariana Lira Peralta . . . . . . . . . . . . . . . . . . . 24

18. Quantum entanglement and classical correlations in the productionof photon pairs with nonlinear crystals – Javier López Durán . . . 25

19. Resonances in fractional systems – Fernando Olivar . . . . . . . 25

20. Spectral design in quantum mechanics – Luis Fernando Orozco

Cortés . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

21. Density functional theory calculations to elucidate the molecularmovement in the CH3NH3PbI3 phases – Iván Ornelas . . . . . . . 26

22. Controller tasks trajectory tracking for solar distillation water –Sergio Palomino Resendiz . . . . . . . . . . . . . . . . . . . . . . . 27

23. Electromagnetic analogue of atomic Rabi oscillations – Emmanuel

Pérez Jaramillo . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

24. Quantum correlations of two qubits coupled to photon baths: Infor-mation vs Concurrence – Claudia Quintana . . . . . . . . . . . . 28

25. Quantum Chaos in Mach-Zehnder Interferometer – Nadia Ramírez

Cruz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

26. Quantum simulation of optical vibrational of GaSb nanowires –Moisés Ramírez Marthen . . . . . . . . . . . . . . . . . . . . . . . 28

27. Spectral analysis for the cut-off modified Pöschl-Teller potential –Rubén Razo Chávez . . . . . . . . . . . . . . . . . . . . . . . . . . 29

28. One qubit interacting with a single mode radiation field: Dynamicsillustrated – Rosa María Reyes . . . . . . . . . . . . . . . . . . . 30

29. Use of spatial correlation of SPDC sources to increase SNR – Ale-

jandra I. Ruiz Mares . . . . . . . . . . . . . . . . . . . . . . . . . 30

30. Phase-space trajectories for classical systems with position depen-dent mass – Carlos Santiago Cruz . . . . . . . . . . . . . . . . . . 31

iv

31. Time-dependent exactly solvable potentials generated by Darbouxtransformations – Kevin Zelaya . . . . . . . . . . . . . . . . . . . 31

v

SHORT COURSES

Quantum resonances, theory and models

Manuel Gadella

Valladolid University, Spain

In the first lecture, we shall study the properties of Hardy functions on ahalf plane, which is an important tool for a mathematical theory of quantumresonances. After this, we shall discuss the basic definitions and propertiesof quantum resonances. The construction of Gamow vectors of vector statesfor exponentially decaying states will be given with mathematical precisionin the framework of rigged Hilbert spaces constructed with the aid of Hardyfunctions. Some models for resonances will be given, starting with the fun-damental Friedrichs model.

Introduction to Hilbert space operators

Maribel Loaiza

Mathematics Department, Cinvestav, Mexico

Hilbert spaces have a rich geometric structure. When they are finite dimen-sional vector spaces they behave quite similar to Euclidean spaces and everylinear transformation defined on them is continuous. From the mathematicalpoint of view, infinite dimensional Hilbert spaces are more interesting. Inthis case, a linear transformation is not always continuous, those that arecontinuous are called bounded operators.In this course we study Hilbert spaces, linear operators defined on them andtheir main properties.

1

Towards mathematical modelling of QFT in real 2Dmetamaterials: singular potentials and selfadjointextensionss

Luis Miguel Nieto

Valladolid University, Spain

TBA

Nonclassical states of light

Oscar Rosas-Ortiz

Physics Department, Cinvestav, Mexico

Is it possible to conciliate the classical notion of light with the concept ofphotons in quantum physics? According to Glauber (Nobel Prize of Physics2005), in general, the photons that integrate the light are correlated: thedetection of one affects the probability of detecting the other. It is thelight source that defines such a correlation. The “classical light” is producedsuch that its (second order) correlation function is greater than, or equalto, one. A good example is the state of a laser, a coherent state, which isregarded as “classical” because its correlation function is equal to one. Otherlight sources produce squeezed light which cannot be described in terms ofthe electromagnetic theory, the correlation function is in this last case lessthan one. Other examples of non-classical light include the superpositionof the vacuum state and a single-photon state, the NON-states and theSchrödinger-cat states of light. In these lectures we are going to discuss theproperties of quantized optical fields. We shall pay special attention to thenon-classical behavior of such fields.

2

PLENARY TALKS

Solvable non-Hermitian systems in quantum mechanics

Bijan BagchiCalcutta University, India

Non-Hermitian Hamiltonians, in particular, those that are invariant undercombined parity and time reversal operations, have attracted a lot of at-tention in recent years. In this talk we will study several classes of non-Hermitian systems focusing primarily on the widely studied Scarf II po-tential. We will discuss recent developments and review some interestingspectral features associated with such a potential.

Superconductivity at ambient pressure

Rafael BaqueroPhysics Department, Cinvestav, Mexico

Superconductivity has very many applications in several fields. One of theparameters that can limit the actual realization of these applications is thelow critical temperatures, Tc, below which the phenomenon arises. In thelast few years this parameter has been grown in an important way. Neverthe-less, it remains well below 200K. It is understandable that the appearance ofa report that graphite intercalated with water could be a room-temperaturesuperconductor, has call a lot of attention. The powers that remain after atreatment of graphite with water “float” under a magnetic field. This mightbe a Meissner effect. But since it is impossible to measure the resistivitywithout collapsing superconductivity, there is no way to prove experimen-tally whether or not the sample is actually a room-temperature supercon-ductor (RTS). To check whether this system is actually a RTS we need todefine a model, calculate the Eliashberg function which describes a super-conductor, solve the Eliashberg gap equations under the assumption thatthe Tc = 300K and calculate on these basis the critical thermodynamic fieldwhich can be compare to experiment. If the calculation fails, nothing can beconcluded, but if it reproduces the thermodynamic magnetic field measuredexperimentally, then the possibility exits that the system is a RTS. In thistalk I will describe the experiment and present our work in that direction.Our first step has been published in the Carbon Journal (impact parameter6.2).

3

Extremal density matrices for the expectation value ofqudit Hamiltonians

Octavio Castaños

O. Castaños, A. Figueroa, J. López, R. López-Peña

ICN-UNAM, Mexico

An algebraic procedure to find extremal density matrices for any Hamilto-nian of a qudit system is established. The extremal density matrices for purestates provide a complete description of the system, that is, the energy spec-tra of the Hamiltonian and their corresponding one dimensional projectors.For density matrices representing mixed states, one gets the correspondingmixture of eigenstates that yields the corresponding extremal mean value ofthe energy. The method can be applied to any observable.

Ladder operators and coherent states for supersymmetricpartners of solvable systems

Veronique Hussin

Montreal University, Canada

Supersymmetric methods have been very fruitful for constructing partnersof exactly solvable systems in nonrelativistic quantum mechanics. Startingfrom an initial Hamiltonian, a partner is obtained through an intertwiningrelation including the introduction of a differential operator, called super-charge. The Hilbert space span by the new energy eigenstates is usually adirect sum of two sets. One set constitutes a subset almost isospectral (sameenergy eigenvalues) with respect to the one of the initial Hamiltonian. Thesecond set is new and its dimension is finite.

The construction of coherent states for such partners is a relevant question.Several definitions of such states have been given for solvable systems. Someof these rely on the existence of ladder operators acting on the eigenstates.The presence of two distinct sets of eigenstates for the supersymmetric part-ner makes the construction of those states challenging.

The construction of ladder operators is revisited in this context. How canwe give a differential operator realization of the operators? How can it

4

help constructing coherent states for the supersymmetric partners of solvablesystems? The one-dimensional quantum models of the infinite well and thetruncated oscillator serve to illustrate the importance of these questions.

Richardson’s solutions in the continuum spectrum of energy

Rodolfo Id Betan

National University of Rosario, Argentina

The constant pairing Hamiltonian holds exact solutions work out by Richard-son in the early Sixties [1].This exact solution of the pairing Hamiltonianregain interest at the end of the Nineties [2]. For loosely bound system thecorrelations with the continuum spectrum of energy must be considered ex-plicitly. The resonances had been included in the Richardson solutions inRef.[3]. In this contribution we reformulate the problem of determining theexact eigenenergies of the pairing Hamiltonian when the continuum is in-cluded through the continuum single particle level density [4]. The solutionsof Ref.[3] is recovered by analytic continuation of the equations to the com-plex energy plane.[1] R. W. Richardson, Phys. Lett. 3, 277 (1963).[2] J. von Delft and F. Braun, arXiv:cond-mat/9911058.[3] M. Hasegawa and K. Kaneko, Phys. Rev. C 67, 024304 (2003).[4] R. Id Betan, Phys. Rev. C 85, 064309 (2012).

The puzzle of the empty bottle

Bogdan Mielnik


TBA

5

Exotic supersymmetry and nonlinear integrable systems

Mikhail Plyushchay

University of Santiago de Chile,Chile

Exploiting the covariance of the Lax pair formulation of the the Korteweg-deVries (KdV) equation under Darboux-Crum transformations, we show hownew multi-soliton solutions to the KdV as well as to the modified Korteweg-de Vries (mKdV) equations can be constructed. The interesting peculiarity ofthe obtained solutions is that they exhibit a chiral asymmetry in propagationof different types of defects in crystalline backgrounds. An exotic nonlinearsupersymmetric structure, which extends an ordinary N = 2 supersymmetryup to N = 4 and involves Lax−Novikov integrals of a pair of perturbedLame systems, is shown to underlie the Miura−Darboux-Crum construction.This exotic supersymmetry unifies the KdV and mKdV solutions, detectsthe defects, distinguishes their types, and identifies the types of crystallinebackgrounds.

Essential Spectrum of Quantum Graphs

Vladimir Rabinovitch

ESIME Instituto Politécnico Nacional, Mexico

Let Γ ⊂ Rn be a metric infinite graph, and there exist a group G isomorphic

Zm, 1 ≤ m ≤ n acting freely on Γ by shifts: Γ 3 x → x+ g ∈ Γ, g ∈ G. We

suppose that the graph Γ is provided by an Schrödinger operator S

Su(x) = −d2u(x)

dx2+ q(x)u(x), x ∈ Γ\V, q ∈ L∞(Γ) (1)

on the edges of the graph Γ, where V is the set of verices of the graph Γ andwe suppose that at the every vertex v of Γ the Kirchhof- Neumann conditionsare satisfied. Such graph is called a quantum graph.Quantum graphs arise in the naturally way, in particular, in quantum wires,photonic cristalls, carbon nano-structures, thin waveguides, Anderson local-ization, and quantum chaos, etc.We consider the self-adjoint operator H in L2(Γ) generated by S and theKirchhof-Neumann conditions. We study the behavior of the essential spec-tra of the operators H with a real-valued periodic potentials under slowly

6

oscillating at infinity perturbations, and we show that the such sort pertur-bations drastically change the spectral structure of quantum graphs.

Nonlinear response of a harmonic diatomic molecule:Algebraic nonperturbative calculation

José Récamier

ICF-UNAM, Mexico

Nonlinear response of a harmonic diatomic molecule: Algebraic nonpertur-bative calculation Abstract: Even harmonic molecules display a nonlinearbehavior when driven by an inhomogeneous field. We calculate the responseof single harmonic molecules to a monochromatic time and space dependentelectric field E(r; t) of frequency ω employing exact algebraic methods. Wecalculate the responses at the fundamental frequency ω and at successiveharmonics 2ω, 3ω, etc., as a function of the intensity and of the frequencyof the field and compare the results with those of first and second orderperturbation theory.

Quantum Theory from a Non−Conventional Perspective

Dieter Schuch

Institut für Theoretische Physik, Germany

Quantum mechanics is, so far, the most successful theory scientifically aswell as economically. Mathematically, it is linear, time-reversal and conser-vative. However, our everyday world is distinguished by a prevailing direc-tion of time, dissipation of energy and phenomena (like the weather) thatcan rather be described in terms of nonlinear theories. How can these twoviews of the world be unified?

Extending quantum mechanics simply by adding nonlinear terms apparentlydoes not solve the problem. Therefore, in this talk, a different approach willbe presented, namely, a nonlinear (but linearizable) reformulation of quan-tum mechanics that complements the linear version.

7

The advantages over the linear formulation are a gain of information as wellas formal compatibility with other fields of physics. This will be demon-strated with examples showing the sensitivity to initial conditions and for-mal similarities with nonlinear problems ranging from nonlinear dynamicsand soliton theory through to Bose-Einstein condensates and cosmology.

8

CONTRIBUTION TALKS

Explicit dispersion relation of the leaky modes in anon-homogeneous waveguide

Víctor Barrera

UPIITA, Instituto Politécnico Nacional, Mexico

The analysis of optical modes in dielectric waveguides has been subject ofexhaustive research during the last decades (see, e.g., [7] and referencestherein). This research has been mainly focused on the mathematical meth-ods for solving the equations associated to the undulatory phenomena in thewaveguides [6], and on the practical aspects and the engineering applica-tions of mode propagation in waveguides [5]. Besides, an important researchfocuses in establishing analogies between optical modes and quantum phe-nomena. In this sense, the guided modes as well as the radiation modesin optical waveguides have been used as direct analogies for the quantumphenomena related to bound states and scattering states, respectively [1].In particular, leaky modes of waveguides has been used as optical analogiesof quantum resonances [2].

Several research papers are devoted to the study of stratified waveguideswhere their strata are considered as homogeneous layers of dielectric mate-rials. These structures lead to dispersion relations given in a closed formby transcendent equations whose zeros determine the propagations constantof the guided modes. Similarly, leaky modes are commonly studied in slabwaveguide made of homogeneous layers. Nonetheless, non−homogeneousslabs can be approached with the Spectral Parameter Power Series (SPPS)method [4]. In this talk we show an explicit representation for the dispersionrelation of the leaky modes for slab waveguides possessing non−homogeneousrefractive index profiles of interest.

[1] S. Cruz y Cruz, R. Razo, J. Phys.: Conf. Ser. 624, 012018 (2015).

[2] S. Cruz y Cruz, O. Rosas-Ortiz. Advances in Mathematical Physics 2015,281472 (2015).

[3] J. Hu, C. R. Menyuk. Advances in Optics and Photonics 1, 58-106 (2009).

9

[4] V. V. Kravchenko, R. M. Porter, Math. Method Appl. Sci. 33, 459−468(2010).

[5] D. Marcuse, Light transmission optics. Van Nostrand Reinhold: NewYork (1982).

[6] D. Marcuse, Theory of dielectric optical waveguides. Academic Press:New York (1991).

[7] C. Yeh, F. I. Shimabukuro, The essence of dielectric waveguides. Springer:New York (2008).

Time dependent confluent supersymmetric quantummechanics

Alonso Contreras Astorga

Northwest Indiana University, USA

The intertwining technique or Supersymmetric quantum mechanics (SUSY)provides a method to systematically generate exactly solvable systems. If theintertwining relation is between Schrödinger operators with time dependentpotentials, then time dependent exactly solvable systems can be obtained. Aconfluent version of the time dependent SUSY seen as an iteration of a firstorder SUSY transformation is studied. A basic example with the harmonicoscillator will be presented.

10

Analysis of one-dimensional photonic waveguides using theSpectral Parameter Power Series Method

Raúl Castillo

ESIME, Instituto Politécnico Nacional, Mexico

As a natural successor to the optical fibers, waveguides with periodic struc-tures on the order of micrometers in their cross section known as photonicwaveguides have started offering the capabilities in low loss, dispersion con-trol, and polarization management that the new communication systemsrequire. The ability to model the wave propagation in this kind of waveg-uides is very useful and leads to results that can allow to compute elementssuch as the group velocity, waveguide dispersion, material dispersion andother relevant parameters. The Spectral Parameter Power Series Methodwas introduced in [1], [2] and has been used to solve several problems of theMathematical-Physics including its application to study the propagation ofwaves in optical fibers [3]. In this case the problem is reduced to finding theeigenvalues of the corresponding dispersion equation coming from the per-turbed Bessel equation that describes the wave propagation. In this workwe show how the method can be applied to the analysis of one-dimensionalphotonic waveguides.

[1] Kravchenko V. V. A representation for solutions of the Sturm−Liouvilleequation, Complex Var. Elliptic Equ.53 pp. 775-789, 2008.

[2] Kravchenko V. V., Porter R. M. Spectral parameter power series forSturm-Liouville problems. Math. Method Appl. Sci. 33, pp. 459-468, 2010.

[3] Castillo−Pérez R., Kravchenko V. V., and Torba S. M., Analysis ofgraded-index optical fibers by the spectral parameter power series method.J. Opt. vol. 17, no. 2, 2015.

11

Paraxial wave optics and generalized coherent states

Sara Cruz y Cruz


The factorization method is applied in the description of paraxial transversemodes of the electromagnetic field in homogeneous and parabolic media.Ladder and shift operators are constructed in order to generate higher ordermodes from the fundamental one. It is shown that these operators canbe used to construct representations of su(1,1) and su(2) algebras. Thecorresponding families of generalized coherent states are also constructed.

Universal quantum gates for Quantum Computation onmagnetic systems ruled by Heisenberg−Ising interactions

Francisco Delgado

ITESM-CEM, Mexico

Gate version of quantum computation has been developed using severalquantum key resources to reach outstanding performance, in particular su-perposition and entanglement. In the way, this theory was constructedadopting certain supposed processes imitating some classical gates to thosein classical computation. As for optical as well as magnetic systems, thosegates are normally pursued as direct quantum evolutions, but in certain casesthey are attained as an asymptotic series of evolution effects. The currentpresentation exploits the direct sum form in the evolution operator for thedriven bipartite Heisenberg-Ising Hamiltonian when it is expressed on thenon-local basis of Bell states. Thus, a set of equivalent universal gates canbe proposed, which are easily constructed as straight evolutions for this in-teraction. Recent research suggests that this procedure could be generalizedfor bigger systems in order to propose generalized multipartite gates usefulas dedicated processing gates.

12

Generalized Equations and Their Solutions in the(S,0)+(0,S) Representations of the Lorentz Group

Valeriy Dvoeglazov

University of Zacatecas, Mexico

In this talk I present three explicit examples of generalizations in rela-tivistic quantum mechanics. First of all, I discuss the generalized spin −1/2 equations for neutrinos. They have been obtained by means of theGersten−Sakurai method for derivations of arbitrary−spin relativistic equa-tions. Possible physical consequences are discussed. Next, it is easy to checkthat both Dirac algebraic equation

Det(p̂−m) = 0

Det(p̂+m) = 0(2)

for u− and v− 4-spinors have solutions with

p0 = ±Ep = ±√

p2 +m2 (3)

The same is true for higher-spin equations. Meanwhile, every book considersthe equality p0 = Ep for both u- and v- spinors of the (1/2, 0)+ (0, 1/2) rep-resentation only, thus applying the Dirac-Feynman-Stueckelberg procedurefor elimination of the negative-energy solutions. The recent Ziino works(and, independently, the articles of several others) show that the Fock spacecan be doubled. We re-consider this on the quantum field level for bothS = 1/2 and higher spin particles. The third example is: we postulate thenon-commutativity of 4-momenta, and we derive the mass splitting in theDirac equation. Some applications are discussed.

13

One qubit time-dependent Hamiltonians, Hubbardoperators and the going-backwards approach

Marco Enríquez


Using the Hubbard representation we write the time-evolution operator of atwo-level system in the so-called disentangled form. This allows us to map thecorresponding dynamical law into a set of non-linear coupled equations. Inorder to find exact solutions, we use inverse technics and find families of time-dependent Hamiltonians whose off-diagonal elements are connected with theErmakov equation. The physical meaning of the so-obtained Hamiltoniansis still an open issue however some known cases can be recovered from thisapproach.

Interlace properties for the real and imaginary parts of thewave functions of complex-valued potentials with realspectrum

Alfonso Jaimes


Some general properties of the wave functions of complex-valued potentialswith real spectrum are studied. The main results are presented in a series oflemmas, corollaries and theorems that are satisfied by the zeros of the realand imaginary parts of the wave functions on the real line. In particular, it isshown that such zeros interlace so that the corresponding probability densi-ties ρ(x) are never null. We find that the profile of the imaginary part V I(x)of a given complex-valued potential determines the number and distributionof the maxima and minima of the related probability densities. Our conjec-ture is that V I(x) must be continuous in R, and that its integral over all thereal line must be equal to zero in order to get control on the distribution ofthe maxima and minima of ρ(x). The applicability of these results is shownby solving the eigenvalue equation of different complex potentials, these lastbeing either PT-symmetric or not invariant under the PT-transformation.

14

Embeddings of quregisters into special linear groups

Guillermo Morales

Computer Science Department, Cinvestav, Mexico

We study embeddings of the unit sphere of complex Hilbert spaces of di-mension a power 2n into the corresponding groups of non-singular lineartransformations. For the case of n = 1, the sphere S1(C) of qubits is identi-fied with SU(2) and the algebraic structure of this last group is carried intoS21(C). Hence it is natural to analyse whether is it possible, for n ≥ 2,to carry the structure of the symmetry group SU(2n) into the unit sphereS2n−1(C). For n = 2 the embeddings of S22−1(C) into GL(22), obtainedas tensor products of the above embedding, fails to determine a bijectionbetween S22−1(C) and SU(22), but they determine entanglement measuresconsistent with von Neumann entropy. Thus, our proposed embeddings donot carry the algebraic structure of the special unitary transforms into theunit sphere of the four-dimensional complex Hilbert space, but it aims torecognize separability of the 2-quregisters.

The anticorrelation experiment of Grangier et al. with aclassical source

Víctor Velázquez

FC-UNAM, Mexico

We present the famous anticorrelation experiment of Grangier et al. [1] us-ing a coherent laser instead of a two photon source. We simulate an idlerphoton using a beamsplitter. We get the anticorrelation second order func-tion with- and without- the poissonian idler state. For the first case we getg2 = 1.01 ± 0.02. For the second one we obtain g2 = 0.67 ± 0.05. We inter-pretat this result as the proportion of quantum states that we can observefrom a coherent state in this experiment.

[1] P. Grangier, G. Roger, and A. Aspect, “Experimental evidence for aphoton anticorrelation effect on a beam splitter: a new light on single-photoninterferences”, Europhys. Lett. 1, 173-179 (1986).

15

POSTERS

Bonding interaction between metals in the Os3(CO)12 andH2Os3(CO)10 clusters: a density functional theory approach

Rodrigo José Alvarez Montero Méndez

R.J. Alvarez-Méndez, O.R. Reyes-López, M.J. Rosalez-Hoz, A. Vela.

Chemistry Department, Cinvestav, Mexico

The saturated, Os3(CO)12, and unsaturated H2Os3(CO)10 clusters haveplayed a very important role in the chemistry of osmium clusters. Its impor-tance rests on the fact that it is the raw material for the synthesis of neworganometallic compounds containing trinuclear osmium clusters. Particu-larly, the unsaturated H2Os3(CO)10 has been used as reagent in the catalyticisomerisation and hydrogenation of alkenes at room temperature, withoutthe need of decarbonylation to create coordination sites. Considering thatthe electron counting rule assigns 46 valence electrons to this structure, ithas been proposed that the bonding in this cluster is analogous to the threecenter-two electron mechanism of B2H6. This electron deficiency enhancesthe reactivity of this trinuclear cluster that easily undergoes nucleophilic ad-ditions by a large variety of ligands, specially Lewis bases. However, someauthors prefer to think of a four center-two electron model, a single or adouble metal-metal interaction mediated by the bridging groups. The im-portance of these molecules lies in their potential applications on biologicalreactions.

Therefore, the aim of this work is to characterize structurally, topologi-cally, and spectroscopically the saturated, Os3(CO)12, and the unsaturatedH2Os3(CO)10 trinuclear osmium carbonyl clusters, and to analyse the bond-ing mechanism in the H2Os3(CO)10 compound using several theoretical toolsand, in particular, the picture depicted by the exchange dimensionless gra-dient.

16

Figure 1: H2Os3(CO)10 a) Exchange dimensionless gradient isosurface and b)

Molecular graph.

Correlation function of second order spdc infrared photons

Adrián Aupart Acosta

Facultad de Ciencias, UNAM, Mexico

Getting statistics photon emission from a source gives us much relevant in-formation about that station source. Once it is known these statistics canestablish a degree of correlation than in the photon emission. This relation-ship we get to experimentally build the correlation function g2(τ) secondorder where the coincidence window to the case SPDC infrared photon isvaried.

17

Design and Construction of Homodyne Detectors forQuantum Tomography

Erick Barrios


I describe the main considerations for designing and building a Wide bandHomodyne Detector for measuring the Electric Field Quadrature’s of an op-tical signal with quantum characteristics. This detector will be based on asimple design and accessible electronic components. I show the basic theorybehind these detectors, and the way in which their performance can be eval-uated. The design is expected to have a low electronic noise, fast response,wideband and the capability to be used in Pulsed or CW regimes. This detec-tor can be used for engineering high quality optical quantum states, quantumprocess tomography and quantum communications protocols in continuousvariables.

Stability of Quantum Loops and Exchange Operations inthe construction of quantum computation gates

Diego Bermúdez

Tecnológico de Monterrey Campus Estado de México, Mexico

Quantum information and quantum computation is a rapidly emergent fieldwhere quantum systems and their study play a central role. In the gate ver-sion of quantum computation, the construction of universal quantum gates tomanipulate quantum information is currently an intensive arena for quantumengineering. Specific properties of systems should be able to reproduce suchidealized gates imitating classical computation gates. For magnetic systemsdriven by the bipartite Heisenberg-Ising Hamiltonian have been realized aneasily design for those gates when dynamics is expressed on the Bell statesas grammar. Exact control can be then used to construct specific prescrip-tions to achieve those gates. Nevertheless, some physical parameters as theinteraction strengths, more than time or magnetic field, set a challenge inthe gate control. This work shows, based on the worst case quantum fidelity,that for the approach depicted, the associated derived uncertainty is mild inthe most of gate constructions and the quantum states involved.

18

Quantum control of the states of light in a Mach-Zehnderinterferometer

Zurika Blanco


The conventional beam splitters that integrate a Mach-Zehnder interferom-eter are substituted by their quantum version in order to manipulate thestates of light. We show that the linear superpositions of Fock states thatare injected into this device can be manipulated to produce non-classicalstates.

Spectral description of open waveguides with axialsymmetry

Iván Alejandro Bocanegra Garay


The interaction between the electromagnetic field and an axial-symmetricwaveguide is discussed, in the context of the well-known classical optics-quantum mechanics analogy, as the interaction between a radial short-rangepotential and a quantum particle. The propagation of particular electromag-netic modes is analyzed in connection to the time evolution of the quantumstates of the particle which interacts with the radial potential.

19

The Harmonic Oscillator according to the Scale RelativityFramework

Moïse BonillaPhysics Department, Cinvestav, Mexico

The Scale Relativity is an emergent approach that aims to unify quantumphysics and relativity theory. The object of study of this new model is avelocity vector which happens to be a complex vector; besides, the dynamicallaw followed by this complex velocity is expressed as a Riccati equation. Inthe present work we study the harmonic oscillator in the Scale Relativityframework.

There is a quantum origin in the biological memory?

Lucero Cano SantamaríaFacultad de Ciencias, UNAM, Mexico

Under the premise of all behavior in the nature have a quantum explanation(at least in theory), we would like to wonder if the biological memory hasalso a quantum explanation. In this work we research the posibility to getsome quantum signatures that we can reconize in processes involved in thecodification of data in neurons. For this goal we propose to use the opticalcriteria in order to distinguish classical and quantum time series of photonsignals.

One photon interference in the Mach−Zehnderinterferometer

Josué CanteraJosué Cantera, Raúl Caudillo−Viurquez and Víctor Velázquez


This work present a easy methodology dedicated to all people interested in tobypass the hard work involved in the alignement of a quantum interferometerMach Zehnder type. We apply this tool in the interference of quantum statesof single photons.

20

The Dirac concept of interference

Raúl Caudillo Viurquez


In this work we present the Dirac interference concept, a photon interferencewith himself compared with interference of two photons created by Sponta-neus Parametric Down Conversion SPDC type II, in this case, we controledthe phase matching condition to generate a colineal photon pair. In addi-tion, for the way of construction of the sistem we observerd an entanglementstates into a Mach-Zhender interferometer.

Modeling to SMA spring actuators, for applications inrobotics

Ricardo Alan Cortez Vega


The Shape Memory Alloy modifies its structural shape exhibited at a lowtemperature, to a pre-settled shape when the temperature increases. Thisbehavior enforces SMA to be an option as actuator in diverse robotic systemsof small dimensions or using non-traditional configurations such as flexiblerobots. The modelling of SMA requires parameter identification as well ascharacterizing the hystersis effects. This work proposes a novel modellingtechnique based on a hybrid structure. The solution considers a simplifiedstructure by applying sigmoid functions which are continuos and differen-tiable. Models obtained in this study corresponded are experimentally vali-dated on a pre-settled shape into a spring configuration.

21

Interference of light with definite orbital angular momentum

Nidia Escamilla Bojorges

UPIITA Instituto Politécnico Nacional, Mexico

In this work we present a theoretical and experimental study of some inter-ference processes of Laguerre-Gaussian beams. Some experiments involvingpassive and active interferometers are presented and the results are comparedto the theoretical predictions. These experiments have some implications inthe characterization of Laguerre-Gaussian beams.

Two dimensional system ruled by Heisenberg-Weyl algebrawith first order ladder operators

Mario Estrada


The Heisenberg-Weyl algebra in one dimension provides systems with equidis-tant spectrum. We search two dimensional non-separable systems fulfillingthe Heisenberg-Weyl algebra, hence possessing sets of equidistant energy lev-els. The systems so obtained turns out to be separable after a rotation beingthe harmonic oscillator one of the separable parts.

22

Quatum difraction of one phton in a square beamsplitterarrangement

Héctor González


We present an exercise of quantum random walks of one photon that mustto cross a square arrangment of NxN beamsplitters. For one part we obtainthe knowed effect of no-gaussian distribution of the probabilities in the 2Noutputs, in another one we shows that the two maximal probabilities goesfor two especial paths along of the arrangement.

Families of coherent states of Hermite-Gaussian modes in amedium with quadratic refractive index profile

Zulema Gress Mendoza


The factorization method is applied in the solution of the Paraxial Helmholtzequation in order to construct, by means of the corresponding operator al-gebra, the Hermite-Gaussian modes in a medium with quadratic refractiveindex profile. The paraxial optics analogue of some families of coherent statesis also presented.

23

Complexity in the nuclear states of 48Ca

Diego Alberto Lara Bustillos

FC-UNAM, Mexico

The nuclear interaction is a non integrable force, so the dynamics of thenucleus must evolve a complex system. The chaos is essentially a property ofcomplex systems. So that the methods of characterization of quantum chaosare implemented in the analysis of complexity in quantum systems. In thiswork present a study of three methods for characterization of quantum chaos:Power spectrum; near neighbor energy levels analysis; and visibility of stateinterference. All results are in agree with the transitions of two fluctuationnoises and the regular or non regular behavior present in quantum billiards.

The anticorrelation of single photons in the Grangierexperiment revisited

Mariana Lira Peralta

Diego Domínguez Rivas and Víctor Velázquez

FC-UNAM, Mexico

The anticorrelation of photons in the Grangier et al. [1] experiment, usesde quantum correlation function. Its value goes from zero to one for statis-tics related to quantum and classical respectively. Both statistics can beobtained from the experiment using a SPDC (spontaneous parametric downconversion) quantum source. We analize the time fluctuations between sig-nal and idler photons in both regimes.

[1] P. Grangier, G. Roger, and A. Aspect, “Experimental evidence for aphoton anticorrelation effect on a beam splitter: a new light on single-photoninterferences”, Europhys. Lett. 1, 173-179 (1986).

24

Quantum entanglement and classical correlations in theproduction of photon pairs with nonlinear crystals

Javier López DuránPhysics Department, Cinvestav, Mexico

The states associated with the subsystems that form a given system arenot mutually independent. In general, due to the conservation laws, thereare correlations among such states. The correlations are either classical orquantum, and both of them can be associated with the system we are dealingwith. One of the most relevant trends in contemporary quantum physics isthe discrimination between these two classes of correlations. In the presentwork we introduce a geometric model addressed to determine the spatialdistributions of the pairs of photons that are generated by a non-linear crystalthat is illuminated with the appropiate light. The phenomenon is non-linearand called spontaneous parametric down conversion (SPDC). There are twotypes of SPDC, the first one is such that the pairs of photons are generatedwith exactly the same polarization, in the second type the photons havemutually orthogonal polarization states. Our model describes the spatialcorrelations between the photons in both cases. On the other hand, it iswell known that the type II SPDC produces also pairs of photons that areentangled in their polarization state. Our model allows the identificationof the spatial zones where there exist entangled photons; we also discuss amechanism that certifies that the photons are entangled.

Resonances in fractional systems

Fernando OlivarPhysics Department, Cinvestav, Mexico

In this work we analyze the response of a classical fractional system to adriven force. The fractional system in study is a fractional oscillator of fre-quency ω0 with fractional damping proportional to the fractional derivativeDα where 0 < α < 1 subject to a harmonic driven force of frequency ω.The dynamic law that rules the behavior of our system results to be a non-homegenous 2α-order fractional differential equation and we solved it. As inthe case of a damped harmonic oscillator subject to a driven harmonic force,we obtain the well-known resonances that unlike the conventional case, arenot obtained when ω = ω0 but for other values of ω < ω0 which are depen-dent of the fractional order α.

25

Spectral design in quantum mechanics

Luis Fernando Orozco Cortés


The study of piecewise constant potentials can be used for the establishmentof a mechanism of spectral design, this technique can be used for constructinga wide variety of potentials with an specific energy spectrum. As illustration,the method is applied to construct exactly solvable isospectral potentials ofthe square well and of the modified Pöschl-Teller potential.

Density functional theory calculations to elucidate themolecular movement in the CH3NH3PbI3 phases

Iván Ornelas

ESIME-Culhuacán, Instituto Politécnico Nacional, Mexico

Nowadays the MAPbI3 (MA = CH3NH+

3) compound is the most studied ma-

terial for photovoltaic applications because of its photo-electronic properties.However, the organic movement inside the unit cell of the MAPbI3 leavessome aspects unclear, that is why ab initio studies has become necessary forthe understanding of the physics behind its great performance. In this worka first-principle study was performed on the orthorhombic, tetragonal, andcubic phases of this material. The electronic band structures, densities ofstates, and charge distribution were analyzed after geometry optimizationfor structures where MA molecule has different orientations. Structural andelectronic properties calculations were made using the generalized gradientapproximation and the Perdew-Burke-Ernzerhof functional, as implementedin the DMol3 code. Our results (bands structure and the density of states)confirm the link between the electronic properties and the MA disposition.

26

Controller tasks trajectory tracking for solar distillationwater

Sergio Palomino Resendiz


The human survival depends on natural and artificial processes which requireelectricity and freshwater; particularly, drinking water. On the other hand,the depletion of resources leading to polluted air and water, deforestation,degraded soils, and dramatic declines of wildlife. For that, it is importantto study an alternative proposal which provides clean energy. The presentwork proposes an implementation of a solar sensor with aim of looking forthe maximum light incidence along some time period. That information isuseful to path generation for a robotic desalinator based on solar distillation,where the solar energy is transformed into thermal and electrical energy.The thermal energy is obtained through thermal focal point of a Fresnellens which is focused on the heat exchanger device to desalinate seawater.The electric energy is related to photovoltaic panels and this energy sourceprovides the electric power autonomy of both desalinator prototype and thesolar sensor.

Electromagnetic analogue of atomic Rabi oscillations

Emmanuel Pérez Jaramillo


The formal equivalence between the Helmholtz equation in the paraxialregime and the time-dependent Schrödinger equation is considered in or-der to explore the possibility of constructing an electromagnetic analogue ofatomic Rabi oscillations by means of a curved, multimodal waveguides. Thisconstruction would be the first step in the design of some low cost labora-tory tools, based on optical components, in order to simulate, in practice,this quantum phenomenon.

27

Quantum correlations of two qubits coupled to photonbaths: Information vs Concurrence

Claudia Quintana


The time-evolution of the entanglement between a pair of atoms that arecoupled to photon baths is analyzed in terms of the concurrence and thenonnegative property of mutual information. The possibility of imitate sucha state by using qudit states is also discussed.

Quantum Chaos in Mach-Zehnder Interferometer

Nadia Ramírez Cruz


TBA

Quantum simulation of optical vibrational of GaSbnanowires

Moisés Ramírez Marthen

ESIME Culhuacán, Instituto Politécnico Nacional

One dimensional semiconductor nanostructures have been extensively stud-ied due to their attractive properties, arising form their confined nature thatgives rise to multiple surface effects and quantum effects such as the quan-tum confinement. Specially GaSb nanowires (GaSbNWs) could be used forhigh speed electronic and optoelectronic applications due to its high holemobility. A correct description the optical vibrational modes of GaSbNWscould be of great importance for the application of such nanostructures forits applications, however theoretical work on this respect is still scarce. Inthis work the vibrational properties of GaSbNWs were studied using the firstprinciples density functional theory approach and the suprecell scheme [1-2].The nanowires were modeled by removing atoms outside a circumference onthe [111] direction of an otherwise perfect GaSb crystal. All surface danglingbonds were passivated with H atomes. The results show that the expected

28

red shift of the phonon optical modes of GaSb compared to their bulk coun-terparts, due to quantum confinement effects were masked by the surfaceGa-H and Sb-H bond bending modes as observed on the partial phonon den-sity of states, while another optical mode frequencies were created like theH bond bending and stretching intervals around 400 to 1200 cm-1 and 1900to 2000cm-1 respectively. These results could be of great importance for thecharacterization of this material through vibrational spectroscopies such asIR and Raman.

[1] Trejo A.; Ojeda M.; Cuevas J.L.; Miranda Á.; Pérez L.A.; Cruz-IrissonM. Int. J. of nanotechnol. 2015, 12 (3−4), 275−284.

[2] Trejo A.; Miranda A.; Toscano-Medina L.K.; Vázquez-Medina R.; Cruz-Irisson M. Microelectronic Eng,. 2016, 159, 215-220

Spectral analysis for the cut-off modified Pöschl-Tellerpotential

Rubén Razo Chávez


The spectral analysis for a short range potential with a modified Pöschl-Teller potential profile is discussed. Some results for particular choices of theparameters are shown: bound states, transmission coefficients, resonancesand the time evolution of linear superposition of these states. The connectionof this problem with that of a planar GRIN waveguide is presented.

29

One qubit interacting with a single mode radiation field:Dynamics illustrated

Rosa María Reyes


The possibility of obtaining information of a quantum system using a purelygeometric representation is discussed. In particular we consider a bipartitesystem composite of a two-level atom interacting with a radiation bath. Thepurity and population inversion of both subsystems in this scheme are studiedin terms of smooth trajectories in the Bloch ball. Such a perspective can bealso useful in the analysis of entanglement properties of the whole system.

Use of spatial correlation of SPDC sources to increase SNR

Alejandra I. Ruiz Mares

FC-UNAM, Mexico

In this work, we present a study on the reduction of noise present in classicalimaging by using spatial correlations from Spontaneous Parametric Descend-ing Conversion (SPDC) sources. We experimentally showed that it is possibleto increase the Signal-to-Noise Ratio (SNR) in images of objects illuminatedwith SPDC light, in comparison with objects illuminated with classical lightwhich present a minor ratio. With our experimental arrangement we ob-tained an average improvement of 11 dB. This simple method can quickly beapplied for obtaining images of very faint objects and transmit informationwith low noise.

30

Phase-space trajectories for classical systems with positiondependent mass

Carlos Santiago Cruz


The factorization method, widely used in the solution of quantum mechanicalproblems, is employed to determine the trajectories in the phase-space forclassical systems. In the first place the classical Hamiltonian is factorizedand the phase space trajectories are determined by means of the underlyingalgebra in the bound and scattering regimes. The method is extended forclassical systems with position dependent mass. The particular case of thehyperbolic Pöschl-Teller potential is presented to illustrate the formalism.

Time-dependent exactly solvable potentials generated byDarboux transformations

Kevin Zelaya


The Darboux transformation is a powerful mechanism to construct new solv-able potentials in Quantum Mechanics. In 1995 Boris Samsonov carried outan extended version to construct new time-dependent solvable potentials. Inthe present work such mechanism is exploited by using the solutions of theusual harmonic oscillator as seed function. The so generated time-dependentpotentials are separable as the sum of spatial and temporal parts and arecharacterized by a time-dependent zero point energy.

31

ATTENDANTS

Hiram Salvador Abarca FloresUPIITA, Instituto Politécnico Nacional, Mexico

Daniel Aguilar VelázquezUPIITA, Instituto Politécnico Nacional, Mexico

Ray Manzarek Aguirre TrujilloESIME, Instituto Politécnico Nacional, Mexico

Amaris Elizabeth Alvarez SanchezUPIITA, Instituto Politécnico Nacional, Mexico

Jorge Andrés Anaya ContrerasESFM, Instituto Politécnico Nacional, Mexico

Alberto Aranda PérezUPIITA, Instituto Politécnico Nacional, Mexico

Jesús Banda GómezUPIITA, Instituto Politécnico Nacional, Mexico

Rogelio Basurto FloresUPIITA, Instituto Politécnico Nacional, Mexico

Iliana Carrillo-IbarraUPIITA, Instituto Politécnico Nacional, Mexico

Carlos Carrizales-VelázquezESFM, Instituto Politécnico Nacional, Mexico

32

Dalia Berenice Cervantes Cabrera


Daniel Idelfonso Cervantes Vázquez


Jessica Michelle Cordova Rojas

FES - Acatlán, UNAM, Mexico

Erik Díaz-Bautista


Miguel Angel Diaz Cigales


Diego Domínguez Rivas

FC, UNAM, Mexico

Angel Yair Escalante Vega


Jesús Ángel Esmeralda Ávila


Iván Yair Fernández Rosales

ESFM, Instituto Politécnico Nacional, Mexico

Hernán García Urrutia


Luis Gen

33


Alejandro Guerra HernándezUPIITA, Instituto Politécnico Nacional, Mexico

José César Guerra VázquezDCI, Universidad de Guanajuato, Mexico

Dante Rodrigo Gonzáles RosasUPIITA, Instituto Politécnico Nacional, Mexico

Paola Gonzalez OrtegaUPIITA, Instituto Politécnico Nacional, Mexico

Lorena Marisol Gómez RuízESIME, Instituto Politécnico Nacional, Mexico

Candelario Hernández GómezESFM, Instituto Politécnico Nacional, Mexico

Luis Rafael H.Luz SánchezUPIITA, Instituto Politécnico Nacional, Mexico

Julio César Hernández MonterESIME, Instituto Politécnico Nacional, Mexico

Claudia Ivonne Hernandez PerezESFM, Instituto Politécnico Nacional, Mexico

José Luis LagunasCinvestav, Mexico

34

Arturo Leija Balderas

Universidad Politécnica del Valle de México, Mexico

Stephanie Limon Morales

Universidad Politécnica del Valle de México, Mexico

Adriana López López


Esteban Maldonado Salmerón


Enrique Matías Zacapala


Pablo Mendoza Iturralde


Diana Estela Mendoza Sánchez

UPIBI, Instituto Politécnico Nacional, Mexico

Gabriela Elizabeth Mijangos Zúñiga


Jesús Adrián Montesinos Correa

ESFM, Instituto Politécnico Nacional, Mexico

Alam Yael Monroy Bejarano


Karla Itzel Morales Bolaños

35

ESIQIE, Instituto Politécnico Nacional, Mexico

Grecia Ameyaly Navarrete RecioUPIITA, Instituto Politécnico Nacional, Mexico

Leticia OliveraUPIITA, Instituto Politécnico Nacional, Mexico

Mariana Yolanda Ortiz-HernándezUPIITA, Instituto Politécnico Nacional, Mexico

Luis Antonio Paxtian LlanoUniversidad Politécnica del Valle de México, Mexico

Israel Reyes RamirezUPIITA, Instituto Politécnico Nacional, Mexico

Jesús Rodríguez LaraUPIITA, Instituto Politécnico Nacional, Mexico

José Luis Sánchez EscobarFES-Acatlán UNAM, Mexico

Patricia Santiago CruzEST, Instituto Politécnico Nacional, Mexico

Pablo ToledoUPIITA, Instituto Politécnico Nacional, Mexico

Omar Vega RuizESIME, Instituto Politécnico Nacional, Mexico

Oscar Jovanny Velasco MartinezUPIITA, Instituto Politécnico Nacional, Mexico

Pamela Vera TizatlUPIITA, Instituto Politécnico Nacional, Mexico

36

List of Participants

Alvarez, Rodrigo , 16

Aupart, Adrián, 17

Bagchi, Bijan, 3

Baquero, Rafael, 3

Barrera, Víctor, 9

Barrios, Erick, 18

Bermúdez, Diego, 18

Blanco García, Zurika Iveth, 19

Bocanegra, Iván Alejandro, 19, 20

Bonilla, Moïse, 20

Cano Santamaría, Lucero , 20

Castaños, Octavio, 4

Castillo, Raúl, 11

Caudillo Viurquez, Raúl, 21

Contreras Astorga, Alonso, 10

Cortez Vega, Ricardo Alan, 21

Cruz y Cruz, Sara, 12

Delgado, Francisco, 12

Dvoeglazov, Valery, 13

Enríquez, Marco, 14

Escamilla, Nidia, 22

Estrada, Mario, 22

Gadella, Manuel, 1

González, Héctor, 23

Gress Mendoza, Zulema, 23

Hussin, Veronique, 4

Id Betan, Rodolfo, 5

Jaimes, Alfonso, 14

López Durán, Javier, 25

Lara Bustillos, Diego Alberto, 24

Lira Peralta, Mariana, 24

Loaiza, Maribel, 1

Mielnik, Bogdan, 5

Morales, Guillermo, 15

Nieto, Luis Miguel, 2

Olivar, Fernando, 25

Ornelas, Iván, 26

Orozco Cortés, Fernando, 26

Pérez Jaramillo, Emmanuel, 27

Palomino Resendiz, Sergio, 27

Plyushchay, Mikhail, 6

Quintana, Claudia, 28

Récamier, José, 7

Rabinovitch, Vladimir, 6

Ramírez Cruz, 28

Ramírez Marthen, Moisés, 28

Razo Chávez, Rubén, 29

Reyes, Rosa María, 30

Rosas-Ortiz, Oscar, 2

Ruiz Mares, Alejandra, 30

Santiago Cruz, Carlos, 31

Schuch, Dieter, 7

Velázquez, Victor, 15

Zelaya, Kevin, 31

37

QUANTUM FEST 2016eventos.fis.cinvestav.mx/quantumfest/bookQF16.pdf · 2016. 10. 14. ·...

Documents

Transcript of QUANTUM FEST 2016eventos.fis.cinvestav.mx/quantumfest/bookQF16.pdf · 2016. 10. 14. ·...