Controlling ellipsoidally harmonic doped quantum dots in strong magnetic fields with high frequency circularly polarized

electromagnetic fields

Matt Kalinski

Utah State University

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H =px

2

2+py

2

2+

(a + 1)ω 2x2

2+

(b + 1)ω 2y2

2−ω (xpy − ypx )

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x0 = ±1/ ε

€

b(q) = −2q

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q = 1/ω 2x03

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a(q) = q

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ω =ω c / 2

Quantum Phase TransitionTheory - cranked oscillator Ex: Hopfield dielectric

M. Kalinski, L. Hansen, D. Farrelly, Phys. Rev. Lett. 95, 103001, (2005)

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Harmonic Elliptical Quantum Dot in Magnetic and C.P.E.M. Fields