Non-commutative space engine: a boost to thermodynamic processes

Abstract

We introduce quantum heat engines that perform quantum Otto cycle and the quantum Stirling cycle by using a coupled 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 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.

Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction

“…The gain in the efficiency of he engine is provided by the relativistic correction. This is quite surprising as we have encountered gain due to the non-commutative parameters as shown in previous works [34][35][36][37]. This feature of suppressing the noncommutative affect with relativistic correction needs further investigation.…”

Heat flow and noncommutative quantum mechanics in phase-space

“…Due to the extensive domain of quantum thermodynamics [50][51][52], an interesting fundamental question is how noncommutativity could modify thermodynamics protocols in quantum scales. Motivated by the same issue, noncommutativity has been addressed in some models of quantum heat machines [53][54][55] as well as in dissipative dynamics of Brownian particles [56,57] and Gaussian states [58]. In this work we address the question of how noncommutativity in phase-space could impact the heat flow between two interacting systems with different temperatures.…”