論文

査読有り
2016年12月14日

Quantum heat current under non-perturbative and non-Markovian conditions: Applications to heat machines

Journal of Chemical Physics
  • Kato Akihito
  • ,
  • Tanimura Yoshitaka

145
22
開始ページ
224105
終了ページ
224105
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1063/1.4971370
出版者・発行元
American Institute of Physics Inc.

We consider a quantum system strongly coupled to multiple heat baths at different temperatures. Quantum heat transport phenomena in this system are investigated using two definitions of the heat current: one in terms of the system energy and the other in terms of the bath energy. When we consider correlations among system-bath interactions (CASBIs) - which have a purely quantum mechanical origin - the definition in terms of the bath energy becomes different. We found that CASBIs are necessary to maintain the consistency of the heat current with thermodynamic laws in the case of strong system-bath coupling. However, within the context of the quantum master equation approach, both of these definitions are identical. Through a numerical investigation, we demonstrate this point for a non-equilibrium spin-boson model and a three-level heat engine model using the reduced hierarchal equations of motion approach under the strongly coupled and non-Markovian conditions. We observe the cyclic behavior of the heat currents and the work performed by the heat engine, and we find that their phases depend on the system-bath coupling strength. Through consideration of the bath heat current, we show that the efficiency of the heat engine decreases as the strength of the system-bath coupling increases, due to the CASBI contribution. In the case of a large system-bath coupling, the efficiency decreases further if the bath temperature is increased, even if the ratio of the bath temperatures is fixed, due to the discretized nature of energy eigenstates. This is also considered to be a unique feature of quantum heat engines.

リンク情報
DOI
https://doi.org/10.1063/1.4971370
CiNii Articles
http://ci.nii.ac.jp/naid/120005973354
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000391582700008&DestApp=WOS_CPL
URL
http://aip.scitation.org/doi/pdf/10.1063/1.4971370
ID情報
  • DOI : 10.1063/1.4971370
  • ISSN : 0021-9606
  • eISSN : 1089-7690
  • CiNii Articles ID : 120005973354
  • Web of Science ID : WOS:000391582700008

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