Heat transport through a two-level system embedded between two harmonic resonators

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