Abstract
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.
| Original language | English |
|---|---|
| Article number | 093014 |
| Journal | New Journal of Physics |
| Volume | 20 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 2018 Sep 1 |
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Keywords
- heat transport
- linear thermal conductance
- non-interacting-blip approximation
- quantum Monte Carlo method
- spin-boson model
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Heat transport via a local two-state system near thermal equilibrium. / Yamamoto, Tsuyoshi; Kato, Masanari; Kato, Takeo; Saitou, Keiji.
In: New Journal of Physics, Vol. 20, No. 9, 093014, 01.09.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Heat transport via a local two-state system near thermal equilibrium
AU - Yamamoto, Tsuyoshi
AU - Kato, Masanari
AU - Kato, Takeo
AU - Saitou, Keiji
PY - 2018/9/1
Y1 - 2018/9/1
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
UR - http://www.scopus.com/inward/record.url?scp=85054212932&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85054212932&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/aadf09
DO - 10.1088/1367-2630/aadf09
M3 - Article
VL - 20
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 9
M1 - 093014
ER -