N. Lazarides, M. Eleftheriou
M. Molina, Y. Kivshar, I. Kourakis
Ricci et al, APL 87, 034102 (2005)
Plasma edge Negative µ LH zone Niobium wires and SRR's at mm scale,
Tunable superconducting SRR’s Resonant frequency change as a function of external DC magn. field
.
Resistively and capacitively shanted junction (RCSJ)
Close to resonance with ω0
Ω=ω/ω0
Right- and Left-handed response
Parameters L= 105 pH C=80 fF ω0=340 GHz β=0.15 R=360 Ω -3.6kΩ
Niobium junctions may operate at 850 GHz when the gap frequency is 690 GHz
JJ breathers Binder et al., PRL 84, 745 (2000)
2D
Equations of motion
Nonlinearity from the Kerr effect
charge, current and capacitance respectively at the n-th SRR
(coupling), (damping), ε(τ) driver f(q) capacitive term and
Linear spectrum
The same equations written in normalized form
Construction: From the anticontinuous limit using the two attractors that appear in the damped-driven system. We use as initial conditions one amplitude at a given location and the second for the remaining chain and extend analytically for finite couplings.
Net magnetic field : At a particular location:
Driver
Induced local field
α=+1
α=-1
Hamiltonian breathers
Left-handed dissipative multibreather
NLS
Metadimer
17
18
)
Dimer bistability
SQUID Dimer
19
Period doubling, multistability, hysterisis and chaos
Mattheakis et al., unpublished
20 Lazarides, Paltoglou, GPT, archive
Transmission: Numerical simulations with a nonlinear lattice model using varactors
Single unit
Dimer
21
N=10
Linear Nonlinear
22
Summary
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