Dissipative dynamics of an open quantum battery

Coupling with an external environment inevitably affects the dynamics of a quantum system. Here, we consider how charging performances of a quantum battery, modelled as a two level system, are influenced by the presence of an Ohmic thermal reservoir. The latter is coupled to both longitudinal and tr...

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Main Authors: M Carrega, A Crescente, D Ferraro, M Sassetti
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/abaa01
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author M Carrega
A Crescente
D Ferraro
M Sassetti
author_facet M Carrega
A Crescente
D Ferraro
M Sassetti
author_sort M Carrega
collection DOAJ
description Coupling with an external environment inevitably affects the dynamics of a quantum system. Here, we consider how charging performances of a quantum battery, modelled as a two level system, are influenced by the presence of an Ohmic thermal reservoir. The latter is coupled to both longitudinal and transverse spin components of the quantum battery including decoherence and pure dephasing mechanisms. Charging and discharging dynamics of the quantum battery, subjected to a static driving, are obtained exploiting a proper mapping into the so-called spin-boson model. Analytic expressions for the time evolution of the energy stored in the weak coupling regime are presented relying on a systematic weak damping expansion. Here, decoherence and pure dephasing dissipative coupling are discussed in details. We argue that the former results in better charging performances, showing also interesting features reminiscent of the Lamb shift level splitting renormalization induced by the presence of the reservoir. Charging stability is also addressed, by monitoring the energy behaviour after the charging protocol has been switched off. This study presents a general framework to investigate relaxation effects, able to include also non Markovian effects, and it reveals the importance of controlling and, possibly, engineering system-bath coupling in the realization of quantum batteries.
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spelling doaj.art-80824880af574da787e25200bbd424bc2023-08-08T15:26:15ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122808308510.1088/1367-2630/abaa01Dissipative dynamics of an open quantum batteryM Carrega0A Crescente1D Ferraro2M Sassetti3NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore , Piazza S. Silvestro 12, I-56127 Pisa, ItalyDipartimento di Fisica, Università di Genova , Via Dodecaneso 33, 16146, Genova, Italy; SPIN-CNR , Via Dodecaneso 33, 16146 Genova, ItalyDipartimento di Fisica, Università di Genova , Via Dodecaneso 33, 16146, Genova, Italy; SPIN-CNR , Via Dodecaneso 33, 16146 Genova, ItalyDipartimento di Fisica, Università di Genova , Via Dodecaneso 33, 16146, Genova, Italy; SPIN-CNR , Via Dodecaneso 33, 16146 Genova, ItalyCoupling with an external environment inevitably affects the dynamics of a quantum system. Here, we consider how charging performances of a quantum battery, modelled as a two level system, are influenced by the presence of an Ohmic thermal reservoir. The latter is coupled to both longitudinal and transverse spin components of the quantum battery including decoherence and pure dephasing mechanisms. Charging and discharging dynamics of the quantum battery, subjected to a static driving, are obtained exploiting a proper mapping into the so-called spin-boson model. Analytic expressions for the time evolution of the energy stored in the weak coupling regime are presented relying on a systematic weak damping expansion. Here, decoherence and pure dephasing dissipative coupling are discussed in details. We argue that the former results in better charging performances, showing also interesting features reminiscent of the Lamb shift level splitting renormalization induced by the presence of the reservoir. Charging stability is also addressed, by monitoring the energy behaviour after the charging protocol has been switched off. This study presents a general framework to investigate relaxation effects, able to include also non Markovian effects, and it reveals the importance of controlling and, possibly, engineering system-bath coupling in the realization of quantum batteries.https://doi.org/10.1088/1367-2630/abaa01quantum batteryopen quantum systemsdissipation and decoherence
spellingShingle M Carrega
A Crescente
D Ferraro
M Sassetti
Dissipative dynamics of an open quantum battery
New Journal of Physics
quantum battery
open quantum systems
dissipation and decoherence
title Dissipative dynamics of an open quantum battery
title_full Dissipative dynamics of an open quantum battery
title_fullStr Dissipative dynamics of an open quantum battery
title_full_unstemmed Dissipative dynamics of an open quantum battery
title_short Dissipative dynamics of an open quantum battery
title_sort dissipative dynamics of an open quantum battery
topic quantum battery
open quantum systems
dissipation and decoherence
url https://doi.org/10.1088/1367-2630/abaa01
work_keys_str_mv AT mcarrega dissipativedynamicsofanopenquantumbattery
AT acrescente dissipativedynamicsofanopenquantumbattery
AT dferraro dissipativedynamicsofanopenquantumbattery
AT msassetti dissipativedynamicsofanopenquantumbattery