Single-photon heat conduction in electrical circuits
  We study photonic heat conduction between two resistors coupled weakly to a single superconducting microwave cavity. At low enough temperature, the dominating part of the heat exchanged between the resistors is transmitted by single-photon excitations of the fundamental mode of the cavity. This manifestation of single-photon heat conduction should be experimentally observable with the current state of the art. Our scheme can possibly be utilized in remote interference-free temperature control of electric components and environment engineering for superconducting qubits coupled to cavities. 
P. J. Jones, J. A. M. Huhtam\"aki, K. Y. Tan, M. M\"ott\"onen
quant-ph cond-mat.mes-hall