TY - JOUR
T1 - Heat transport via a local two-state system near thermal equilibrium
AU - Yamamoto, Tsuyoshi
AU - Kato, Masanari
AU - Kato, Takeo
AU - Saito, Keiji
N1 - Funding Information:
The authors thank R Sakano and T Yokoyama for helpful discussions and comments. TK was supported by JSPS Grants-in-Aid for Scientific Research (No. JP24540316 and JP26220711). KS was supported by JSPS Grants-in-Aid for Scientific Research (No. JP25103003, JP16H02211, and JP17K05587).
Publisher Copyright:
© 2018 Institute of Physics Publishing. All rights reserved.
PY - 2018/9
Y1 - 2018/9
N2 - 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 ∝T2s+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.
AB - 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 ∝T2s+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.
KW - heat transport
KW - linear thermal conductance
KW - non-interacting-blip approximation
KW - quantum Monte Carlo method
KW - spin-boson model
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U2 - 10.1088/1367-2630/aadf09
DO - 10.1088/1367-2630/aadf09
M3 - Article
AN - SCOPUS:85054212932
VL - 20
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 9
M1 - 093014
ER -