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...

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Main Authors: Tsuyoshi Yamamoto, Masanari Kato, Takeo Kato, Keiji Saito
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
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.
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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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AT keijisaito heattransportviaalocaltwostatesystemnearthermalequilibrium