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

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)

Dimer bistability

SQUID Dimer

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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Mattheakis et al., unpublished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

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N=10

Linear Nonlinear

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Summary

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