Topologically-enforced bifurcations in superconducting circuits

TL;DR

This paper explores how topological properties in superconducting circuits can induce bifurcations and chaos, linking topological insulators with nonlinear dynamics in a novel experimental setup.

Contribution

It introduces a nonlinear extension of the Su-Schrieffer-Heeger model in superconducting circuits, revealing topologically-enforced bifurcations and chaotic behavior.

Findings

Topologically-enforced bifurcations occur as a function of the topological control parameter.

The system exhibits chaotic dynamics separating phases with distinct topological features.

The work bridges topological insulators and nonlinear dynamics in superconducting circuits.

Abstract

The relation of topological insulators and superconductors and the field of nonlinear dynamics is widely unexplored. To address this subject, we adopt the linear coupling geometry of the Su-Schrieffer-Heeger model, a paradigmatic example for a topological insulator, and render it nonlinearly in the context of superconducting circuits. As a consequence, the system exhibits topologically-enforced bifurcations as a function of the topological control parameter, which finally gives rise to chaotic dynamics, separating phases which exhibit clear topological features.