Mesoscopic photon heat transistor

TL;DR

This paper introduces the Mesoscopic Photon Heat Transistor, a device that controls heat transfer via electromagnetic fluctuations using an intermediate quantum circuit, with a theoretical framework and potential experimental implementation.

Contribution

It develops a novel conductance formula for photonic heat transport and demonstrates how to realize the MPHT with a flux-controlled SQUID circuit.

Findings

Derived a Meir-Wingreen-Landauer type conductance formula for photonic heat current.

Provided an exact solution for a resonator-based intermediate circuit.

Discussed experimental implementation with flux-controlled SQUIDs.

Abstract

We show that the heat transport between two bodies, mediated by electromagnetic fluctuations, can be controlled with an intermediate quantum circuit - leading to the device concept Mesoscopic Photon Heat Transistor (MPHT). Our theoretical analysis is based on a novel Meir-Wingreen-Landauer type of conductance formula, which gives the photonic heat current through an arbitrary circuit element coupled to two dissipative reservoirs at finite temperatures. As an illustration we present an exact solution for the case when the intermediate circuit can be described as an electromagnetic resonator. We discuss in detail how the MPHT can be implemented experimentally in terms of a flux-controlled SQUID circuit.