Experimental test of exchange fluctuation relations in an open quantum system

Elucidating the energy transfer between a quantum system and a reservoir is a central issue in quantum nonequilibrium thermodynamics, which could provide novel tools to engineer quantum-enhanced heat engines. The lack of information on the reservoir inherently limits the practical insight that can b...

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Main Authors: S. Hernández-Gómez, S. Gherardini, F. Poggiali, F. S. Cataliotti, A. Trombettoni, P. Cappellaro, N. Fabbri
Format: Article
Language:English
Published: American Physical Society 2020-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.023327
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author S. Hernández-Gómez
S. Gherardini
F. Poggiali
F. S. Cataliotti
A. Trombettoni
P. Cappellaro
N. Fabbri
author_facet S. Hernández-Gómez
S. Gherardini
F. Poggiali
F. S. Cataliotti
A. Trombettoni
P. Cappellaro
N. Fabbri
author_sort S. Hernández-Gómez
collection DOAJ
description Elucidating the energy transfer between a quantum system and a reservoir is a central issue in quantum nonequilibrium thermodynamics, which could provide novel tools to engineer quantum-enhanced heat engines. The lack of information on the reservoir inherently limits the practical insight that can be gained on the exchange process of open quantum systems. Here we investigate the energy transfer for an open quantum system in the framework of quantum fluctuation relations. As a novel toolbox, we employ a nitrogen-vacancy center spin qubit in diamond, subject to repeated quantum projective measurements and a tunable dissipation channel. In the presence of energy fluctuations originated by dissipation and quantum projective measurements, the experimental results, supplemented by numerical simulations, show the validity of the energy exchange fluctuation relation, where the energy scale factor encodes missing reservoir information in the system out-of-equilibrium steady-state properties. This result is complemented by a theoretical argument showing that, also for an open three-level quantum system, the existence of an out-of-equilibrium steady state dictates a unique time-independent value of the energy scale factor for which the fluctuation relation is verified. Our findings pave the way to the investigation of energy exchange mechanisms in arbitrary open quantum systems.
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spelling doaj.art-f535f80eef344b5b87287c4e5c719fc12024-04-12T16:55:29ZengAmerican Physical SocietyPhysical Review Research2643-15642020-06-012202332710.1103/PhysRevResearch.2.023327Experimental test of exchange fluctuation relations in an open quantum systemS. Hernández-GómezS. GherardiniF. PoggialiF. S. CataliottiA. TrombettoniP. CappellaroN. FabbriElucidating the energy transfer between a quantum system and a reservoir is a central issue in quantum nonequilibrium thermodynamics, which could provide novel tools to engineer quantum-enhanced heat engines. The lack of information on the reservoir inherently limits the practical insight that can be gained on the exchange process of open quantum systems. Here we investigate the energy transfer for an open quantum system in the framework of quantum fluctuation relations. As a novel toolbox, we employ a nitrogen-vacancy center spin qubit in diamond, subject to repeated quantum projective measurements and a tunable dissipation channel. In the presence of energy fluctuations originated by dissipation and quantum projective measurements, the experimental results, supplemented by numerical simulations, show the validity of the energy exchange fluctuation relation, where the energy scale factor encodes missing reservoir information in the system out-of-equilibrium steady-state properties. This result is complemented by a theoretical argument showing that, also for an open three-level quantum system, the existence of an out-of-equilibrium steady state dictates a unique time-independent value of the energy scale factor for which the fluctuation relation is verified. Our findings pave the way to the investigation of energy exchange mechanisms in arbitrary open quantum systems.http://doi.org/10.1103/PhysRevResearch.2.023327
spellingShingle S. Hernández-Gómez
S. Gherardini
F. Poggiali
F. S. Cataliotti
A. Trombettoni
P. Cappellaro
N. Fabbri
Experimental test of exchange fluctuation relations in an open quantum system
Physical Review Research
title Experimental test of exchange fluctuation relations in an open quantum system
title_full Experimental test of exchange fluctuation relations in an open quantum system
title_fullStr Experimental test of exchange fluctuation relations in an open quantum system
title_full_unstemmed Experimental test of exchange fluctuation relations in an open quantum system
title_short Experimental test of exchange fluctuation relations in an open quantum system
title_sort experimental test of exchange fluctuation relations in an open quantum system
url http://doi.org/10.1103/PhysRevResearch.2.023327
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