Heat transfer in the spin-boson model: A comparative study in the incoherent tunneling regime

Abstract

We study the transfer of heat in the non-equilibrium spin-boson model with an Ohmic dissipation. In the non-adiabatic limit we derive a formula for the thermal conductance based on a rate equation formalism at the level of the non-interacting blip approximation, valid for temperatures $T>T_K$, with $T_K$ as the Kondo temperature. We evaluate this expression analytically assuming either weak or strong couplings, and demonstrate that our results agree with exact relations. Far-from-equilibrium situations are further examined, showing a close correspondence to the linear response limit.

References in corpus (12)

• Heat Transport in low-dimensional systems
• Quantum thermal transport in nanostructures
• Nonequilibrium Green's function approach to mesoscopic thermal transport
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Heat transport in harmonic lattices
• Mesoscopic photon heat transistor
• Thermal conductance in a spin-boson model: Cotunneling and low temperature properties
• Heat transport in ordered harmonic lattices
• Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
• Meir-Wingreen formula for heat transport in a spin-boson nanojunction model
• Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics
• Two-level system in spin baths: Non-adiabatic dynamics and heat transport

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• Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
• Non-linear transport in an out-of-equilibrium single-site Bose Hubbard model: scaling, rectification and time dynamics
• Effective-Hamiltonian theory: An approximation to the equilibrium state of open quantum systems
• Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics
• Optimal qubit-mediated quantum heat transfer via noncommuting operators and strong coupling effects
• Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose-Hubbard system