Dynamical phase transition in Floquet optical bistable systems

Tatsuhiko Shirai, Synge Todo, Seiji Miyashita

Published 2019-10-23Version 1

Dynamical response of an optical bistable system to a time-periodic driving field is studied. We found a phase transition in the structure of limit cycle as a function of the frequency of the driving field. We characterize the limit cycle by using a Floquet dissipative map, which is a time-evolution operator over one period in a dynamics given by a quantum master equation. The decay rate of relaxation dynamics is described by the dominant eigenvalue of the map. The decay rate exhibits qualitatively different system-size dependence before and after the phase transition, and it shows a finite-size scaling of spinodal phenomena around the transition point. The present work provides a systematic way of studying dynamical phase transition observed in time-periodically driven open systems in terms of the Floquet dissipative map.