Optimization of cooling load in quantum self-contained fridge based on endoreversible approach

TL;DR

This paper analyzes a quantum self-contained refrigerator using endoreversible thermodynamics to optimize cooling load and efficiency, revealing trade-offs and potential performance enhancements without external controls.

Contribution

It introduces a thermodynamic model for a quantum fridge and derives explicit relations for optimizing cooling load and efficiency, including a simple architecture modification.

Findings

Cooling load and efficiency exhibit a trade-off relationship.

Explicit expressions for performance metrics are derived.

A simple modification can amplify cooling load.

Abstract

We consider a quantum self-contained fridge consisting of three qubits interacting with three separate heat reservoirs, respectively, and functioning without any external controls. Applying the methods of endoreversible thermodynamics, we derive explicit expressions of cooling load versus efficiency of this fridge, which demonstrate behaviors of trade-off between those two quantities and thus enable to discuss the thermoeconomic optimization of performance. We also discuss a possibility for the amplification of cooling load briefly in a simple modification from the original architecture of fridge.