Dissipative breathers in rf SQUID metamaterials

TL;DR

This paper investigates the formation and stability of dissipative breathers in rf SQUID arrays, revealing their potential to locally change magnetic responses and highlighting their significance in superconducting metamaterials.

Contribution

It introduces the concept of dissipative discrete breathers in rf SQUID arrays and analyzes their stability and magnetic response alterations.

Findings

DDBs can form in rf SQUID arrays with weak magnetic coupling.

DDBs can switch local magnetic response from paramagnetic to diamagnetic.

DDBs remain stable up to large coupling parameters.

Abstract

The existence and stability of dissipative breathers in rf SQUID (Superconducting Quantum Interference Device) arrays is investigated numerically. In such arrays, the nonlinearity which is intrinsic to each SQUID, along with the weak magnetic coupling of each SQUID to its nearest neighbors, result in the formation of discrete breathers. We analyze several discrete breather excitations in rf SQUID arrays driven by alternating flux sources in the presence of losses. The delicate balance between internal power losses and input power, results in the formation of dissipative discrete breather (DDB) structures up to relatively large coupling parameters. It is shown that DDBs may locally alter the magnetic response of an rf SQUID array from paramagnetic to diamagnetic or vice versa.