Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas

Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas

We analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions. We have found that the dissipative quantum dynamics of the Caldirola-Kanai model can be exactly mapped to a dissipationless quantum dynamics under a negative external harmonic...

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Bibliographic Details
Main Authors: Masaaki Tokieda, Shimpei Endo
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-09-01
Series:Frontiers in Physics
Subjects:
dissipative quantum system
Caldirola-Kanai model
cold atoms
unitary fermi gas
nuclear dynamics
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2021.730761/full
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spelling doaj-ad18c6de1bc440658efaae13857c6ba92021-09-17T05:17:06ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-09-01910.3389/fphy.2021.730761730761Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi GasMasaaki Tokieda0Masaaki Tokieda1Shimpei Endo2Shimpei Endo3Department of Physics, Tohoku University, Sendai, JapanStrangeness Nuclear Physics Laboratory, RIKEN Nishina Center, Wako, JapanDepartment of Physics, Tohoku University, Sendai, JapanFrontier Research Institute for Interdisciplinary Science, Tohoku University, Sendai, JapanWe analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions. We have found that the dissipative quantum dynamics of the Caldirola-Kanai model can be exactly mapped to a dissipationless quantum dynamics under a negative external harmonic potential, even when the particles are strongly interacting. In particular, we show that the mapping is valid for the unitary Fermi gas, which is relevant for cold atoms and nuclear matters.https://www.frontiersin.org/articles/10.3389/fphy.2021.730761/fulldissipative quantum systemCaldirola-Kanai modelcold atomsunitary fermi gasnuclear dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Masaaki Tokieda
Masaaki Tokieda
Shimpei Endo
Shimpei Endo
spellingShingle Masaaki Tokieda
Masaaki Tokieda
Shimpei Endo
Shimpei Endo
Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas
Frontiers in Physics
dissipative quantum system
Caldirola-Kanai model
cold atoms
unitary fermi gas
nuclear dynamics
author_facet Masaaki Tokieda
Masaaki Tokieda
Shimpei Endo
Shimpei Endo
author_sort Masaaki Tokieda
title Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas
title_short Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas
title_full Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas
title_fullStr Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas
title_full_unstemmed Equivalence of Dissipative and Dissipationless Dynamics of Interacting Quantum Systems With Its Application to the Unitary Fermi Gas
title_sort equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary fermi gas
publisher Frontiers Media S.A.
series Frontiers in Physics
issn 2296-424X
publishDate 2021-09-01
description We analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions. We have found that the dissipative quantum dynamics of the Caldirola-Kanai model can be exactly mapped to a dissipationless quantum dynamics under a negative external harmonic potential, even when the particles are strongly interacting. In particular, we show that the mapping is valid for the unitary Fermi gas, which is relevant for cold atoms and nuclear matters.
topic dissipative quantum system
Caldirola-Kanai model
cold atoms
unitary fermi gas
nuclear dynamics
url https://www.frontiersin.org/articles/10.3389/fphy.2021.730761/full
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AT masaakitokieda equivalenceofdissipativeanddissipationlessdynamicsofinteractingquantumsystemswithitsapplicationtotheunitaryfermigas
AT shimpeiendo equivalenceofdissipativeanddissipationlessdynamicsofinteractingquantumsystemswithitsapplicationtotheunitaryfermigas
AT shimpeiendo equivalenceofdissipativeanddissipationlessdynamicsofinteractingquantumsystemswithitsapplicationtotheunitaryfermigas
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