Heat transport via a local two-state system near thermal equilibrium

Tsuyoshi Yamamoto, Masanari Kato, Takeo Kato, Keiji Saito

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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 languageEnglish
Article number093014
JournalNew Journal of Physics
Volume20
Issue number9
DOIs
Publication statusPublished - 2018 Sep

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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)

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