Brownian thermal transistors and refrigerators in mesoscopic systems

TL;DR

This paper develops a theoretical framework for mesoscopic thermal transistors and refrigerators, analyzing fluctuations and inelastic processes to optimize quantum heat transport devices.

Contribution

It introduces a unified Gaussian fluctuation approach to quantify thermal transistor and refrigerator performance, emphasizing the role of inelastic processes in mesoscopic systems.

Findings

Fluctuations can be harnessed as resources in quantum thermal devices.

Inelastic processes significantly influence thermal transport bounds.

The framework applies broadly to electron and bosonic excitations in mesoscopic systems.

Abstract

Fluctuations are significant in mesoscopic systems and of particular importance in understanding quantum transport. Here, we show that fluctuations can be considered as a resource for the operations of open quantum systems as functional devices. We derive the statistics of the thermal transistor amplification factor and the cooling-by-heating refrigerator efficiency under the Gaussian fluctuation framework. Statistical properties of the stochastic thermal transistor and the cooling-by-heating efficiency are revealed in the linear-response regime. We clarify the unique role of inelastic processes on thermal transport in mesoscopic systems. We further show that elastic and inelastic processes lead to different bounds based on the linear transport coefficients by establishing a generic theoretical framework for mesoscopic heat transport, which treats electron and bosonic collective excitations in an equal-footing manner. The underlying physics are illustrated concretely using a double-quantum-dot three-terminal system, though the theory applies to more general systems.