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RETRACTED: Multiparticle quantum heat engine: Exploring the impact of criticality on efficiency

Anass Hminat1, Abdallah Slaoui1,2,*, Brahim Amghar2,3, and Rachid Ahl Laamara1,2

  • *Contact author: abdallah.slaoui@fsr.um5.ac.ma
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Phys. Rev. E 112, 044104 – Published 2 October, 2025Retraction Phys. Rev. E 113, 049906 (2026)

DOI: https://doi.org/10.1103/qyby-5yvg

Abstract

This article has been retracted: see Phys. Rev. E 113, 049906 (2026)

Quantum many-body systems present substantial technical challenges from both analytical and numerical perspectives. Despite these difficulties, some progress has been made, including studies of interacting atomic gases and interacting quantum spins. Furthermore, the potential for criticality to enhance engine performance has been demonstrated, suggesting a promising direction for future investigation. Here, we explore the performance of a quantum Otto cycle using a long-range Ising chain as the working substance. We consider an idealized cycle consisting of two adiabatic transformations and two perfect thermalizations, eliminating dissipation. Analyzing both engine and refrigerator modes, we investigate the influence of particle number, varied from 10 to 100, on efficiencies and behavior near the critical point of the phase transition, which we characterize using a scaling factor. We also examine how internal factors—specifically, the power-law exponent, the number of particles, and the hot and cold reservoir temperatures—affect the system's operation in different modes. Our results reveal that these factors have a different impact compared with their classical counterparts.

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Erratum

Retraction: Multiparticle quantum heat engine: Exploring the impact of criticality on efficiency [Phys. Rev. E 112, 044104 (2025)]

Anass Hminat, Abdallah Slaoui, Brahim Amghar, and Rachid Ahl Laamara
Phys. Rev. E 113, 049906 (2026)

Article Text

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Outline

Information

Phys. Rev. E 112, 044104– Published 2 October, 2025Retraction: Phys. Rev. E 113, 049906 (2026)
  • Received 3 February 2025
  • Revised 8 July 2025
  • Accepted 3 September 2025
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