Chaos Emerge with Exceptional Points in Reset-Driven Floquet Dynamics

TL;DR

This paper explores how tuning a parameter in reset-driven Floquet quantum channels causes a spectral transition marked by exceptional points, revealing different dynamical regimes and linking spectral features to observable relaxation behaviors.

Contribution

It uncovers a spectral transition driven by exceptional points in reset-driven Floquet channels and connects spectral properties to physical dynamical regimes and experimental probes.

Findings

Spectral transition from ergodic to chaotic regimes via exceptional points.

Channel spectrum distinguishes between chaotic, ergodic, localized, and scarred regimes.

Leading eigenvalues relate to experimentally accessible quantum mutual information.

Abstract

We investigate the spectral structure of reset-driven Floquet quantum channels generated by the Hamiltonian evolution of a many-body system followed by periodic resetting of a bath. By tuning a chaos-controlling parameter in the underlying Hamiltonian, we uncover an exceptional-point-induced spectral transition from a symmetry-constrained ergodic regime to a fully chaotic regime. Across this transition, increasing the chaos parameter causes the real eigenvalues of the channel to drift, coalesce at exceptional points, and bifurcate into complex-conjugate pairs, signaling the progressive breaking of symmetry constraints in operator space. We further show that the channel spectrum sharply distinguishes chaotic, ergodic, many-body localized, and scarred dynamical regimes. Finally, we connect the leading channel eigenvalues to experimentally accessible probes based on quantum mutual information, establishing a link between the spectral organization of reset-driven quantum channels and observable relaxation dynamics.