Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism

Seyit Deniz Han; Özgür Ökcü; Ekrem Aydiner

doi:10.26650/PAR.2025.00006

Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism

Abstract

We study a quantum Stirling heat engine whose working substance is modeled by an anisotropic XY Heisenberg spin- 1 2 system. The thermodynamic properties of the engine are analyzed within the framework of Tsallis nonextensive statistics, where the generalized entropy 𝑆𝑞 accounts for long-range correlations and non-Markovian memory effects. Analytical expressions for internal energy and entropy are derived to compute work output and efficiency under various parameter regimes. Our findings reveal that, under moderate magnetic fields and realistic interaction asymmetries, the engine achieves non-negligible positive work and enhanced thermal efficiency in the subextensive regime (𝑞 < 1). A key feature of our model is the coupling-driven nature of the Stirling cycle, wherein thermodynamic processes are controlled by modulating the exchange interactions 𝐽𝐴 and 𝐽𝐵. These results demonstrate that the Tsallis parameter 𝑞 significantly influences thermodynamic performance, offering a viable pathway toward optimizing quantum thermal machines in strongly correlated, low-dimensional systems.

Keywords

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Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Seyit Deniz Han ^* This is me
Türkiye

Özgür Ökcü This is me
0000-0002-7798-594X
Türkiye

Ekrem Aydiner This is me
Türkiye

Publication Date

June 24, 2025

Submission Date

May 14, 2025

Acceptance Date

June 18, 2025

Published in Issue

Year 2025 Volume: 3 Number: 1

DOI

https://doi.org/10.26650/PAR.2025.00006

IZ

https://izlik.org/JA64LB79WB

Cite

RIS / Bibtex

APA

Han, S. D., Ökcü, Ö., & Aydiner, E. (2025). Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism. Physics and Astronomy Reports, 3(1), 35-42. https://doi.org/10.26650/PAR.2025.00006

AMA

1.Han SD, Ökcü Ö, Aydiner E. Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism. Physics and Astronomy Reports. 2025;3(1):35-42. doi:10.26650/PAR.2025.00006

Chicago

Han, Seyit Deniz, Özgür Ökcü, and Ekrem Aydiner. 2025. “Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism”. Physics and Astronomy Reports 3 (1): 35-42. https://doi.org/10.26650/PAR.2025.00006.

EndNote

Han SD, Ökcü Ö, Aydiner E (June 1, 2025) Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism. Physics and Astronomy Reports 3 1 35–42.

IEEE

[1]S. D. Han, Ö. Ökcü, and E. Aydiner, “Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism”, Physics and Astronomy Reports, vol. 3, no. 1, pp. 35–42, June 2025, doi: 10.26650/PAR.2025.00006.

ISNAD

Han, Seyit Deniz - Ökcü, Özgür - Aydiner, Ekrem. “Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism”. Physics and Astronomy Reports 3/1 (June 1, 2025): 35-42. https://doi.org/10.26650/PAR.2025.00006.

JAMA

1.Han SD, Ökcü Ö, Aydiner E. Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism. Physics and Astronomy Reports. 2025;3:35–42.

MLA

Han, Seyit Deniz, et al. “Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism”. Physics and Astronomy Reports, vol. 3, no. 1, June 2025, pp. 35-42, doi:10.26650/PAR.2025.00006.

Vancouver

1.Seyit Deniz Han, Özgür Ökcü, Ekrem Aydiner. Quantum Stirling Heat Engine Based on the XY Heisenberg Spin Model in Tsallis Formalism. Physics and Astronomy Reports. 2025 Jun. 1;3(1):35-42. doi:10.26650/PAR.2025.00006