Impact of spatial curvature on quantum Otto engines

TL;DR

This paper explores how the curvature of space influences the performance of a quantum Otto engine using a harmonic oscillator on a circle, showing that curvature differences can optimize efficiency up to the Carnot limit.

Contribution

It introduces a model where spatial curvature affects quantum heat engine efficiency, providing insights into curvature's role in quantum thermodynamics.

Findings

Efficiency depends on spatial curvature differences.

Efficiency can reach the Carnot limit by adjusting curvature.

Curvature impacts heat and work in quantum Otto cycles.

Abstract

In this paper, we consider a quantum Otto cycle with a quantum harmonic oscillator on a circle as its working substance. Since the eigen-energies of this oscillator depend on the curvature of the circle, this model, as an analog model, enables us to investigate the curvature effects of the physical space on properties of quantum heat engines. We assume that two classical hot and cold thermal baths are located at places with different curvatures. We calculate the curvature-dependent work and heat in our Otto cycle with a particular emphasis on how curvature affects it's thermal efficiency. By adjusting the curvature difference between the locations of the thermal baths, we demonstrate that the efficiency of our heat engine can reach the Carnot limit.