Surpassing the Carnot efficiency by extracting imperfect work

A suitable way of quantifying work for microscopic quantum systems has been constantly debated in the field of quantum thermodynamics. One natural approach is to measure the average increase in energy of an ancillary system, called the battery, after a work extraction protocol. The quality of energy...

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Main Authors: Nelly Huei Ying Ng, Mischa Prebin Woods, Stephanie Wehner
Format: Article
Language:English
Published: IOP Publishing 2017-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa8ced
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author Nelly Huei Ying Ng
Mischa Prebin Woods
Stephanie Wehner
author_facet Nelly Huei Ying Ng
Mischa Prebin Woods
Stephanie Wehner
author_sort Nelly Huei Ying Ng
collection DOAJ
description A suitable way of quantifying work for microscopic quantum systems has been constantly debated in the field of quantum thermodynamics. One natural approach is to measure the average increase in energy of an ancillary system, called the battery, after a work extraction protocol. The quality of energy extracted is usually argued to be good by quantifying higher moments of the energy distribution, or by restricting the amount of entropy to be low. This limits the amount of heat contribution to the energy extracted, but does not completely prevent it. We show that the definition of ‘work’ is crucial. If one allows for a definition of work that tolerates a non-negligible entropy increase in the battery, then a small scale heat engine can possibly exceed the Carnot efficiency. This can be done without using any additional resources such as coherence or correlations, and furthermore can be achieved even when one of the heat baths is finite in size.
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spelling doaj.art-fd64d759e06141529adbb614971e50032023-08-08T14:57:07ZengIOP PublishingNew Journal of Physics1367-26302017-01-01191111300510.1088/1367-2630/aa8cedSurpassing the Carnot efficiency by extracting imperfect workNelly Huei Ying Ng0Mischa Prebin Woods1Stephanie Wehner2QuTech, Delft University of Technology , Lorentzweg 1, 2628 CJ Delft, The Netherlands; Centre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, 117543, SingaporeQuTech, Delft University of Technology , Lorentzweg 1, 2628 CJ Delft, The Netherlands; University College of London , Department of Physics & Astronomy, London WC1E 6BT, United KingdomQuTech, Delft University of Technology , Lorentzweg 1, 2628 CJ Delft, The Netherlands; Centre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, 117543, SingaporeA suitable way of quantifying work for microscopic quantum systems has been constantly debated in the field of quantum thermodynamics. One natural approach is to measure the average increase in energy of an ancillary system, called the battery, after a work extraction protocol. The quality of energy extracted is usually argued to be good by quantifying higher moments of the energy distribution, or by restricting the amount of entropy to be low. This limits the amount of heat contribution to the energy extracted, but does not completely prevent it. We show that the definition of ‘work’ is crucial. If one allows for a definition of work that tolerates a non-negligible entropy increase in the battery, then a small scale heat engine can possibly exceed the Carnot efficiency. This can be done without using any additional resources such as coherence or correlations, and furthermore can be achieved even when one of the heat baths is finite in size.https://doi.org/10.1088/1367-2630/aa8cedquantum thermodynamicssingle-shot work extractionquantum heat enginesthermodynamic resource theories
spellingShingle Nelly Huei Ying Ng
Mischa Prebin Woods
Stephanie Wehner
Surpassing the Carnot efficiency by extracting imperfect work
New Journal of Physics
quantum thermodynamics
single-shot work extraction
quantum heat engines
thermodynamic resource theories
title Surpassing the Carnot efficiency by extracting imperfect work
title_full Surpassing the Carnot efficiency by extracting imperfect work
title_fullStr Surpassing the Carnot efficiency by extracting imperfect work
title_full_unstemmed Surpassing the Carnot efficiency by extracting imperfect work
title_short Surpassing the Carnot efficiency by extracting imperfect work
title_sort surpassing the carnot efficiency by extracting imperfect work
topic quantum thermodynamics
single-shot work extraction
quantum heat engines
thermodynamic resource theories
url https://doi.org/10.1088/1367-2630/aa8ced
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