Heat transport via a local two-state system near thermal equilibrium
Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling mechanism is derived. This formula predicts the power-law tem...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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IOP Publishing
2018-01-01
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Series: | New Journal of Physics |
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Online Access: | https://doi.org/10.1088/1367-2630/aadf09 |
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author | Tsuyoshi Yamamoto Masanari Kato Takeo Kato Keiji Saito |
author_facet | Tsuyoshi Yamamoto Masanari Kato Takeo Kato Keiji Saito |
author_sort | Tsuyoshi Yamamoto |
collection | DOAJ |
description | Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling mechanism is derived. This formula predicts the power-law temperature dependence of thermal conductance $\propto {T}^{2s+1}$ for a thermal environment of spectral density with the exponent s . An accurate numerical simulation is performed using the quantum Monte Carlo method, and these predictions are confirmed for arbitrary thermal baths. Our numerical calculation classifies the transport mechanism, and shows that the non-interacting-blip approximation quantitatively describes thermal conductance in the incoherent transport regime. |
first_indexed | 2024-03-12T16:35:28Z |
format | Article |
id | doaj.art-5ee7166412664074944e96094de4f5bc |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:35:28Z |
publishDate | 2018-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
spelling | doaj.art-5ee7166412664074944e96094de4f5bc2023-08-08T14:54:27ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120909301410.1088/1367-2630/aadf09Heat transport via a local two-state system near thermal equilibriumTsuyoshi Yamamoto0Masanari Kato1Takeo Kato2Keiji Saito3Institute for Solid State Physics, The University of Tokyo , Kashiwa, Chiba 277-8581, JapanInstitute for Solid State Physics, The University of Tokyo , Kashiwa, Chiba 277-8581, JapanInstitute for Solid State Physics, The University of Tokyo , Kashiwa, Chiba 277-8581, JapanDepartment of Physics, Keio University , Yokohama 223-8522, JapanHeat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling mechanism is derived. This formula predicts the power-law temperature dependence of thermal conductance $\propto {T}^{2s+1}$ for a thermal environment of spectral density with the exponent s . An accurate numerical simulation is performed using the quantum Monte Carlo method, and these predictions are confirmed for arbitrary thermal baths. Our numerical calculation classifies the transport mechanism, and shows that the non-interacting-blip approximation quantitatively describes thermal conductance in the incoherent transport regime.https://doi.org/10.1088/1367-2630/aadf09heat transportlinear thermal conductancespin-boson modelquantum Monte Carlo methodnon-interacting-blip approximation |
spellingShingle | Tsuyoshi Yamamoto Masanari Kato Takeo Kato Keiji Saito Heat transport via a local two-state system near thermal equilibrium New Journal of Physics heat transport linear thermal conductance spin-boson model quantum Monte Carlo method non-interacting-blip approximation |
title | Heat transport via a local two-state system near thermal equilibrium |
title_full | Heat transport via a local two-state system near thermal equilibrium |
title_fullStr | Heat transport via a local two-state system near thermal equilibrium |
title_full_unstemmed | Heat transport via a local two-state system near thermal equilibrium |
title_short | Heat transport via a local two-state system near thermal equilibrium |
title_sort | heat transport via a local two state system near thermal equilibrium |
topic | heat transport linear thermal conductance spin-boson model quantum Monte Carlo method non-interacting-blip approximation |
url | https://doi.org/10.1088/1367-2630/aadf09 |
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