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Influence of magnetic fields on quantum thermodynamics of a stirling engine with Heisenberg XXX model under Dzyaloshinskii–Moriya interaction using Tsallis and Shannon entropy

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  • Han, Hongpei
  • Long, Liu

Abstract

The thermodynamic performance of a quantum Stirling heat engine is investigated using a two-qubit Heisenberg XXX working substance influenced by Dzyaloshinskii–Moriya (DM) interaction. The effects of homogeneous (B) and inhomogeneous (b) magnetic fields are analyzed under both Tsallis and Shannon entropy frameworks. Entropy, internal energy, work output, absorbed and rejected heat, efficiency, and coefficient of performance are computed across a wide range of magnetic field parameters. It is found that increasing b reduces entropy and internal energy by promoting spin localization and suppressing quantum coherence, while increasing B initially enhances disorder via Zeeman splitting but eventually leads to spin alignment. Net work remains positive under Tsallis but varies under Shannon. Heat absorption (Qin) and rejection (Qout) peak at intermediate fields, with Tsallis capturing non-extensive correlations more effectively. Tsallis entropy yields smoother and more robust thermodynamic responses with consistently positive work output and higher maximum efficiency and coefficient of performance. In contrast, Shannon entropy exhibits higher sensitivity to magnetic disorder and non-monotonic behaviors.

Suggested Citation

  • Han, Hongpei & Long, Liu, 2026. "Influence of magnetic fields on quantum thermodynamics of a stirling engine with Heisenberg XXX model under Dzyaloshinskii–Moriya interaction using Tsallis and Shannon entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 685(C).
    • Handle: RePEc:eee:phsmap:v:685:y:2026:i:c:s0378437125009148
    DOI: 10.1016/j.physa.2025.131262
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    1. Mahmoudi, Maryam, 2020. "The effects of Dzyaloshinskii–Moriya interaction on entanglement dynamics of a spin chain in a non-Markovian regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
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