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We investigate heat transport through an assembly consisting of a two-levelsystem coupled between two harmonic oscillators, which is described by thequantum Rabi model, as a prototype of nanoscale heat devices using controllablemulti-level systems. Using the noninteracting-blip approximation (NIBA), wefind that the linear thermal conductance shows a characteristic temperaturedependence with a two-peak structure. We also show that heat transport issensitive to model parameters for weak system-bath coupling and stronghybridization between the two-level system and the harmonic oscillators. Thisproperty characteristic of the multi-level system is advantageous forapplications such as a heat transistor, and can be examined in superconductingcircuits.

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