Multistable Dissipative Breathers and Novel Collective States in SQUID Lieb Metamaterials

TL;DR

This paper explores multistable dissipative breathers and complex collective states in a SQUID Lieb metamaterial, revealing stable localized oscillations, chimera states, and chaos due to nonlinear flux dynamics.

Contribution

It introduces the first demonstration of multistable dissipative breathers and novel collective states in a SQUID Lieb metamaterial with detailed analysis of their stability and interactions.

Findings

Multiple stable breather solutions exist in the system.

Chimera and chaotic states emerge in the lattice.

Breather stability depends on frequency, flux amplitude, and coupling.

Abstract

A SQUID (Superconducting QUantum Interference Device) metamaterial on a Lieb lattice with nearest-neighbor coupling supports simultaneously stable dissipative breather families which are generated through a delicate balance of input power and intrinsic losses. Breather multistability is possible due to the peculiar snaking flux ampitude - frequency curve of single dissipative-driven SQUIDs, which for relatively high sinusoidal flux field amplitudes exhibits several stable and unstable solutions in a narrow frequency band around resonance. These breathers are very weakly interacting with each other, while multistability regimes with different number of simultaneously stable breathers persist for substantial intervals of frequency, flux field amplitude, and coupling coefficients. Moreover, the emergence of chimera states as well as novel temporally chaotic states exhibiting spatial homogeneity within each sublattice of the Lieb lattice is demonstrated.