Entangled time-crystal phase in an open quantum light-matter system

Fuente: arXiv
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Main Authors: Mattes, Robert, Lesanovsky, Igor, Carollo, Federico
Format: Preprint
Published: 2023
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author Mattes, Robert
Lesanovsky, Igor
Carollo, Federico
author_facet Mattes, Robert
Lesanovsky, Igor
Carollo, Federico
contents Time-crystals are nonequilibrium many-body phases in which the state of the system dynamically approaches a limit cycle. While these phases are recently in the focus of intensive research, it is still far from clear whether they can host quantum correlations. In fact, mostly classical correlations have been observed so far and time-crystals appear to be effectively classical high-entropy phases. Here, we consider the nonequilibrium behavior of an open quantum light-matter system, realizable in current experiments, which maps onto a paradigmatic time-crystal model after an adiabatic elimination of the light field. The system displays a bistable regime, with coexistent time-crystal and stationary phases, terminating at a tricritical point from which a second-order phase transition line departs. While light and matter are uncorrelated in the stationary phase, the time-crystal phase features bipartite correlations, both of quantum and classical nature. Our work unveils that time-crystal phases in collective open quantum systems can sustain quantum correlations, including entanglement, and are thus more than effectively classical many-body phases.
format Preprint
id arxiv_https___arxiv_org_abs_2303_07725
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Entangled time-crystal phase in an open quantum light-matter system
Mattes, Robert
Lesanovsky, Igor
Carollo, Federico
Statistical Mechanics
Quantum Physics
Time-crystals are nonequilibrium many-body phases in which the state of the system dynamically approaches a limit cycle. While these phases are recently in the focus of intensive research, it is still far from clear whether they can host quantum correlations. In fact, mostly classical correlations have been observed so far and time-crystals appear to be effectively classical high-entropy phases. Here, we consider the nonequilibrium behavior of an open quantum light-matter system, realizable in current experiments, which maps onto a paradigmatic time-crystal model after an adiabatic elimination of the light field. The system displays a bistable regime, with coexistent time-crystal and stationary phases, terminating at a tricritical point from which a second-order phase transition line departs. While light and matter are uncorrelated in the stationary phase, the time-crystal phase features bipartite correlations, both of quantum and classical nature. Our work unveils that time-crystal phases in collective open quantum systems can sustain quantum correlations, including entanglement, and are thus more than effectively classical many-body phases.
title Entangled time-crystal phase in an open quantum light-matter system
topic Statistical Mechanics
Quantum Physics
url https://arxiv.org/abs/2303.07725