Heat transport through quantum Rabi model

We investigate heat transport through quantum Rabi model, which is composed of a two-state system and two harmonic oscillators, as a prototype of heat devices using controllable multi-level systems. Using the noninteracting-blip approximation (NIBA), we find that the linear thermal conductance shows a characteristic temperature dependence with a two-peak structure. We also show that heat transport is sensitive to model parameters for weak system-bath coupling and strong hybridization between the two-state system and the harmonic oscillators. This property characteristic of the multi-level system is advantageous for applications such as a heat transistor, and can be examined in superconducting circuits.