Optimization of a relativistic quantum mechanical engine

TL;DR

This paper analyzes a relativistic quantum engine with a three-level fermionic system, deriving power output and efficiency expressions considering finite-speed potential walls, contributing to the understanding of quantum thermodynamics under relativistic effects.

Contribution

It introduces an optimal analysis of a relativistic quantum engine with first-order corrections, including energy leakage and finite-speed effects, using a three-level fermionic system.

Findings

Derived power output expression for the relativistic quantum engine.

Reproduced the efficiency at maximum power in the relativistic regime.

Analyzed effects of finite wall speed on engine performance.

Abstract

We present an optimal analysis for a quantum mechanical engine working between two energy baths within the framework of relativistic quantum mechanics, adopting a first-order correction. This quantum mechanical engine, with the direct energy leakage between the energy baths, consists of two adiabatic and two isoenergetic processes and uses a three-level system of two non-interacting fermions as its working substance. Assuming that the potential wall moves at a finite speed, we derive the expression of power output and, in particular, reproduce the expression for the efficiency at maximum power.