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Title: Hierarchical Equations of Motion Approach to Quantum Thermodynamics
Authors: Kato, Akihito
Tanimura, Yoshitaka
Author's alias: 加藤, 章仁
谷村, 吉隆
Issue Date: 2018
Publisher: Springer
Journal title: Fundamental Theories of Physics
Volume: 195
Start page: 579
End page: 595
Abstract: We present a theoretical framework to investigate quantum thermodynamic processes under non-Markovian system-bath interactions on the basis of the hierarchical equations of motion (HEOM) approach, which is convenient to carry out numerically “exact” calculations. This formalism is valuable because it can be used to treat not only strong system-bath coupling but also system-bath correlation or entanglement, which will be essential to characterize the heat transport between the system and quantum heat baths. Using this formalism, we demonstrated an importance of the thermodynamic effect from the bath-system-bath tri-partite correlations (TPC) for a two-level heat transfer model and a three-level autonomous heat engine model under the conditions that the conventional quantum master equation approaches are failed. Our numerical calculations show that TPC contributions, which distinguish the heat current from the energy current, have to be take into account to satisfy the thermodynamic laws.
Rights: This is a post-peer-review, pre-copyedit version of an article published in Fundamental Theories of Physics. The final authenticated version is available online at:
The full-text file will be made open to the public on 2 April 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
DOI(Published Version): 10.1007/978-3-319-99046-0_24
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