Non-commutative space engine: a boost to thermodynamic processes

TL;DR

This paper explores quantum heat engines operating in non-commutative phase space, demonstrating enhanced efficiency and effectiveness of the Stirling cycle compared to the Otto cycle, using coupled harmonic oscillators as the working medium.

Contribution

It introduces the analysis of quantum heat engines in non-commutative phase space, showing efficiency boosts and the superior effectiveness of the Stirling cycle over the Otto cycle.

Findings

Stirling cycle efficiency approaches that of the ideal cycle in non-commutative space.

Non-commutative phase space enhances engine efficiency compared to commutative space.

The Stirling cycle is more effective than the Otto cycle with the chosen working medium.

Abstract

We introduce quantum heat engines that perform quantum Otto cycle and the quantum Stirling cycle by using a coupled pair of harmonic oscillator as its working substance. In the quantum regime, different working medium is considered for the analysis of the engine models to boost the efficiency of the cycles. In this work, we present Otto and Stirling cycle in the quantum realm where the phase space is non-commutative in nature. By using the notion of quantum thermodynamics we develop the thermodynamic variables in non-commutative phase space. We encounter a catalytic effect (boost) on the efficiency of the engine in non-commutative space (i.e, we encounter that the Stirling cycle reaches near to the efficiency of the ideal cycle) when compared with the commutative space. Moreover, we obtained a notion that the working medium is much more effective for the analysis of the Stirling cycle than that of the Otto cycle.