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N. Lazarides, M. Eleftheriou
M. Molina, Y. Kivshar, I. Kourakis
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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
.
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Resistively and capacitively shanted junction (RCSJ)
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Close to resonance with ω0
Ω=ω/ω0
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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
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JJ breathers Binder et al., PRL 84, 745 (2000)
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2D
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Equations of motion
Nonlinearity from the Kerr effect
charge, current and capacitance respectively at the n-th SRR
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(coupling), (damping), ε(τ) driver f(q) capacitive term and
Linear spectrum
The same equations written in normalized form
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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.
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Net magnetic field : At a particular location:
Driver
Induced local field
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α=+1
α=-1
Hamiltonian breathers
Left-handed dissipative multibreather
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NLS
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Metadimer
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)
Dimer bistability
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SQUID Dimer
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Period doubling, multistability, hysterisis and chaos
Mattheakis et al., unpublished
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20 Lazarides, Paltoglou, GPT, archive
Transmission: Numerical simulations with a nonlinear lattice model using varactors
Single unit
Dimer
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N=10
Linear Nonlinear
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Summary
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