{ "id": "1910.10618", "version": "v1", "published": "2019-10-23T15:30:56.000Z", "updated": "2019-10-23T15:30:56.000Z", "title": "Dynamical phase transition in Floquet optical bistable systems", "authors": [ "Tatsuhiko Shirai", "Synge Todo", "Seiji Miyashita" ], "comment": "8 pages, 7 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2019-10-23T15:30:56.000Z" } ], "analyses": { "keywords": [ "dynamical phase transition", "floquet optical bistable systems", "floquet dissipative map", "decay rate", "limit cycle" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }