Related papers: Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization

Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization

URL: http://arxiv.org/abs/2005.10013v2
Date: Fri, 22 May 2020 10:09:48 GMT
Title: Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization
Authors: Valentin Link and Walter T. Strunz
Abstract summary: We study dynamical phase transitions (DPT) in the driven and damped Dicke model. These DPTs are characterized by non-analyticities of certain observables. We present a scheme which allows measurement of the DPT in a cavity-QED setup.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study dynamical phase transitions (DPT) in the driven and damped Dicke model, realizable for example by a driven atomic ensemble collectively coupled to a damped cavity mode. These DPTs are characterized by non-analyticities of certain observables, primarily the overlap of time evolved and initial state. Even though the dynamics is dissipative, this phenomenon occurs for a wide range of parameters and no fine-tuning is required. Focusing on the state of the 'atoms' in the limit of a bad cavity, we are able to asymptotically evaluate an exact path integral representation of the relevant overlaps. The DPTs then arise by minimization of a certain action function, which is related to the large deviation theory of a classical stochastic process. From a more general viewpoint, in the considered system, non-analyticities emerge generically in a Fock space representation of the state. Finally, we present a scheme which allows a measurement of the DPT in a cavity-QED setup.

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