Quantum thermodynamics of boundary time-crystals

Fuente: arXiv
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Autori principali: Carollo, Federico, Lesanovsky, Igor, Antezza, Mauro, De Chiara, Gabriele
Natura: Preprint
Pubblicazione: 2023
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author Carollo, Federico
Lesanovsky, Igor
Antezza, Mauro
De Chiara, Gabriele
author_facet Carollo, Federico
Lesanovsky, Igor
Antezza, Mauro
De Chiara, Gabriele
contents Time-translation symmetry breaking is a mechanism for the emergence of non-stationary many-body phases, so-called time-crystals, in Markovian open quantum systems. Dynamical aspects of time-crystals have been extensively explored over the recent years. However, much less is known about their thermodynamic properties, also due to the intrinsic nonequilibrium nature of these phases. Here, we consider the paradigmatic boundary time-crystal system, in a finite-temperature environment, and demonstrate the persistence of the time-crystalline phase at any temperature. Furthermore, we analyze thermodynamic aspects of the model investigating, in particular, heat currents, power exchange and irreversible entropy production. Our work sheds light on the thermodynamic cost of sustaining nonequilibrium time-crystalline phases and provides a framework for characterizing time-crystals as possible resources for, e.g., quantum sensing. Our results may be verified in experiments, for example with trapped ions or superconducting circuits, since we connect thermodynamic quantities with mean value and covariance of collective (magnetization) operators.
format Preprint
id arxiv_https___arxiv_org_abs_2306_07330
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum thermodynamics of boundary time-crystals
Carollo, Federico
Lesanovsky, Igor
Antezza, Mauro
De Chiara, Gabriele
Quantum Physics
Statistical Mechanics
Time-translation symmetry breaking is a mechanism for the emergence of non-stationary many-body phases, so-called time-crystals, in Markovian open quantum systems. Dynamical aspects of time-crystals have been extensively explored over the recent years. However, much less is known about their thermodynamic properties, also due to the intrinsic nonequilibrium nature of these phases. Here, we consider the paradigmatic boundary time-crystal system, in a finite-temperature environment, and demonstrate the persistence of the time-crystalline phase at any temperature. Furthermore, we analyze thermodynamic aspects of the model investigating, in particular, heat currents, power exchange and irreversible entropy production. Our work sheds light on the thermodynamic cost of sustaining nonequilibrium time-crystalline phases and provides a framework for characterizing time-crystals as possible resources for, e.g., quantum sensing. Our results may be verified in experiments, for example with trapped ions or superconducting circuits, since we connect thermodynamic quantities with mean value and covariance of collective (magnetization) operators.
title Quantum thermodynamics of boundary time-crystals
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2306.07330