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 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.

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Cited by in corpus (6)

• Landauer Principle and Thermodynamics of Computation
• Heat flow and noncommutative quantum mechanics in phase-space
• Non-Commutative space: boon or bane for quantum engines and refrigerators
• Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Unified trade-off optimization of quantum harmonic Otto engine and refrigerator