Quantum Szilard engine for the fractional power-law potentials

Quantum Szilard engine for the fractional power-law potentials

Abstract In this study, we consider the quantum Szilárd engine with a single particle under the fractional power-law potential. We suggest that such kind of the Szilárd engine works a Stirling-like cycle. We obtain energy eigenvalues and canonical partition functions for the degenerate and non-degen...

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Autor principal: Ekrem Aydiner
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
Materias:
Medicine
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Science
Q
Acceso en línea:https://doaj.org/article/c28e2d620e284f9abf75e8cee7e67a34
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spelling oai:doaj.org-article:c28e2d620e284f9abf75e8cee7e67a342021-12-02T14:01:20ZQuantum Szilard engine for the fractional power-law potentials10.1038/s41598-020-80639-w2045-2322https://doaj.org/article/c28e2d620e284f9abf75e8cee7e67a342021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-80639-whttps://doaj.org/toc/2045-2322Abstract In this study, we consider the quantum Szilárd engine with a single particle under the fractional power-law potential. We suggest that such kind of the Szilárd engine works a Stirling-like cycle. We obtain energy eigenvalues and canonical partition functions for the degenerate and non-degenerate cases in this cycle process. By using these quantities we numerically compute work and efficiency for this thermodynamic cycle for various power-law potentials with integer and non-integer exponents. We show that the presented simple engine also yields positive work and efficiency. We discuss the importance of fractional dynamics in physics and finally, we conclude that fractional calculus should be included in the fields of quantum information and thermodynamics.Ekrem AydinerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Ekrem Aydiner
Quantum Szilard engine for the fractional power-law potentials
description Abstract In this study, we consider the quantum Szilárd engine with a single particle under the fractional power-law potential. We suggest that such kind of the Szilárd engine works a Stirling-like cycle. We obtain energy eigenvalues and canonical partition functions for the degenerate and non-degenerate cases in this cycle process. By using these quantities we numerically compute work and efficiency for this thermodynamic cycle for various power-law potentials with integer and non-integer exponents. We show that the presented simple engine also yields positive work and efficiency. We discuss the importance of fractional dynamics in physics and finally, we conclude that fractional calculus should be included in the fields of quantum information and thermodynamics.
format article
author Ekrem Aydiner
author_facet Ekrem Aydiner
author_sort Ekrem Aydiner
title Quantum Szilard engine for the fractional power-law potentials
title_short Quantum Szilard engine for the fractional power-law potentials
title_full Quantum Szilard engine for the fractional power-law potentials
title_fullStr Quantum Szilard engine for the fractional power-law potentials
title_full_unstemmed Quantum Szilard engine for the fractional power-law potentials
title_sort quantum szilard engine for the fractional power-law potentials
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/c28e2d620e284f9abf75e8cee7e67a34
work_keys_str_mv AT ekremaydiner quantumszilardengineforthefractionalpowerlawpotentials
_version_ 1718392226928656384

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