Application of the Generalized Work Relation for an N-level Quantum System

An efficient periodic operation to obtain the maximum work from a nonequilibrium initial state in an N–level quantum system is shown. Each cycle consists of a stabilization process followed by an isentropic restoration process. The instantaneous time limit can be taken in the stabilization process f...

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Main Authors: Junichi Ishikawa, Kazuma Takara, Hiroshi-H. Hasegawa, Dean J. Driebe
Format: Article
Language:English
Published: MDPI AG 2014-06-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/16/6/3471
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spelling doaj-24de1223418c4091b5ba6a8e0515e44e2020-11-25T00:50:05ZengMDPI AGEntropy1099-43002014-06-011663471348110.3390/e16063471e16063471Application of the Generalized Work Relation for an N-level Quantum SystemJunichi Ishikawa0Kazuma Takara1Hiroshi-H. Hasegawa2Dean J. Driebe3Department of Mathematical Sciences, Ibaraki University, Bunkyo, Mito, 310-8512 JapanDepartment of Mathematical Sciences, Ibaraki University, Bunkyo, Mito, 310-8512 JapanDepartment of Mathematical Sciences, Ibaraki University, Bunkyo, Mito, 310-8512 JapanIndependent Researcher, Brussels 1050, BelgiumAn efficient periodic operation to obtain the maximum work from a nonequilibrium initial state in an N–level quantum system is shown. Each cycle consists of a stabilization process followed by an isentropic restoration process. The instantaneous time limit can be taken in the stabilization process from the nonequilibrium initial state to a stable passive state. In the restoration process that preserves the passive state a minimum period is needed to satisfy the uncertainty relation between energy and time. An efficient quantum feedback control in a symmetric two–level quantum system connected to an energy source is proposed.http://www.mdpi.com/1099-4300/16/6/3471nonequilibrium thermodynamicsmaximum workgeneralized work relationgeneralized second law
collection DOAJ
language English
format Article
sources DOAJ
author Junichi Ishikawa
Kazuma Takara
Hiroshi-H. Hasegawa
Dean J. Driebe
spellingShingle Junichi Ishikawa
Kazuma Takara
Hiroshi-H. Hasegawa
Dean J. Driebe
Application of the Generalized Work Relation for an N-level Quantum System
Entropy
nonequilibrium thermodynamics
maximum work
generalized work relation
generalized second law
author_facet Junichi Ishikawa
Kazuma Takara
Hiroshi-H. Hasegawa
Dean J. Driebe
author_sort Junichi Ishikawa
title Application of the Generalized Work Relation for an N-level Quantum System
title_short Application of the Generalized Work Relation for an N-level Quantum System
title_full Application of the Generalized Work Relation for an N-level Quantum System
title_fullStr Application of the Generalized Work Relation for an N-level Quantum System
title_full_unstemmed Application of the Generalized Work Relation for an N-level Quantum System
title_sort application of the generalized work relation for an n-level quantum system
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2014-06-01
description An efficient periodic operation to obtain the maximum work from a nonequilibrium initial state in an N–level quantum system is shown. Each cycle consists of a stabilization process followed by an isentropic restoration process. The instantaneous time limit can be taken in the stabilization process from the nonequilibrium initial state to a stable passive state. In the restoration process that preserves the passive state a minimum period is needed to satisfy the uncertainty relation between energy and time. An efficient quantum feedback control in a symmetric two–level quantum system connected to an energy source is proposed.
topic nonequilibrium thermodynamics
maximum work
generalized work relation
generalized second law
url http://www.mdpi.com/1099-4300/16/6/3471
work_keys_str_mv AT junichiishikawa applicationofthegeneralizedworkrelationforannlevelquantumsystem
AT kazumatakara applicationofthegeneralizedworkrelationforannlevelquantumsystem
AT hiroshihhasegawa applicationofthegeneralizedworkrelationforannlevelquantumsystem
AT deanjdriebe applicationofthegeneralizedworkrelationforannlevelquantumsystem
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