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Thermodynamic properties and performance improvements of fractional Otto heat engine with repulsive bosons

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  • Xia, Shihao
  • Pan, Ousi
  • Pan, Yuzhuo
  • Chen, Jincan
  • Su, Shanhe

Abstract

This study presents calculations of a multiparticle system within the framework of fractional quantum mechanics. We specifically explore the energy levels of a bosonic system with repulsive interactions confined in a hard-wall box. The impacts of fractional parameters on the system’s thermodynamic properties are meticulously analyzed. Furthermore, utilizing this model, we construct a quantum Otto cycle and discover that the system exhibits Bose–Fermi duality under varying fractional parameters. Intriguingly, the introduction of fractional parameters enables to optimize the performance of the quantum heat engine, edging it closer to the Carnot efficiency.

Suggested Citation

  • Xia, Shihao & Pan, Ousi & Pan, Yuzhuo & Chen, Jincan & Su, Shanhe, 2024. "Thermodynamic properties and performance improvements of fractional Otto heat engine with repulsive bosons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 653(C).
    • Handle: RePEc:eee:phsmap:v:653:y:2024:i:c:s0378437124006034
    DOI: 10.1016/j.physa.2024.130094
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    References listed on IDEAS

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    1. Korichi, Nabil & Boumali, Abdelmalek & Hassanabadi, Hassan, 2022. "Thermal properties of the one-dimensional space quantum fractional Dirac Oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    2. Shilong Liu & Yingwen Zhang & Boris A. Malomed & Ebrahim Karimi, 2023. "Experimental realisations of the fractional Schrödinger equation in the temporal domain," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    3. Laskin, Nick, 2017. "Time fractional quantum mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 16-28.
    4. Pierre Barthelemy & Jacopo Bertolotti & Diederik S. Wiersma, 2008. "A Lévy flight for light," Nature, Nature, vol. 453(7194), pages 495-498, May.
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