Chimera states and synchronization in magnetically driven SQUID metamaterials

TL;DR

This paper explores the emergence of chimera states and synchronization phenomena in magnetically driven SQUID metamaterials, highlighting their complex collective dynamics influenced by non-local magnetic interactions.

Contribution

It introduces the study of chimera states in SQUID metamaterials, revealing novel synchronization patterns driven by magnetic coupling effects.

Findings

Identification of chimera states in SQUID arrays

Demonstration of tunable synchronization behaviors

Analysis of non-local magnetic interactions influence

Abstract

Superconducting QUantum Interference Device (SQUID) metamaterials are superconducting artificial media whose function relies both on their geometry and the extraordinary properties of superconductivity and the Josephson effect. Recent experiments on one- and two-dimensional radio-frequency (rf) SQUID metamaterials have revealed their wide-band tuneability, significantly reduced losses, dynamic multistability, and tunable broadband transparency. The simplest version of an rf SQUID involves a superconducting ring interrupted by a Josephson junction; this device is a highly nonlinear resonator with a strong response to applied magnetic fields. SQUID metamaterials exhibit peculiar magnetic properties such as negative diamagnetic permeability, predicted both for the quantum and the classical regime. The applied alternating fields induce (super)currents in the SQUID rings, which are therefore coupled through dipole-dipole magnetic forces. This interaction is weak due to its magnetic nature. However, it couples the SQUIDs non-locally since it falls-off as the inverse cube of their center-to-center distance.