Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space

Abstract

Two testable schemes for quantum heat engines are investigated under the quantization framework of noncommutative (NC) quantum mechanics (QM). By identifying the phenomenological connection between the phase-space NC driving parameters and an effective external magnetic field, the NC effects on the efficiency coefficient, \mathcal{N} , of quantum engines can be quantified for two different cycles: an isomagnetic one and an isoenergetic one. In addition, paying a special attention to the quantum Carnot cycle, one notices that the inclusion of NC effects does not affect the maximal (Carnot) efficiency, \mathcal{N}^C, ratifying the robustness of the second law of thermodynamics.

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Cited by in corpus (11)

• Non-commutative space engine: a boost to thermodynamic processes
• Non-Hermitian noncommutative quantum mechanics
• Non-Commutative space: boon or bane for quantum engines and refrigerators
• Heat flow and noncommutative quantum mechanics in phase-space
• Gravitational Quantum Well as an Effective Quantum Heat Engine
• Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
• Noncommutative phase-space effects in thermal diffusion of Gaussian states
• Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators
• Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces
• Quantum kinetic theory of flux-carrying Brownian particles
• Lattice oscillator model on noncommutative space: eigenvalues problem for the perturbation theory