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Quadratic enhancement in the reliability of collective quantum engines

Noufal Jaseem1, Sai Vinjanampathy2,3, and Victor Mukherjee1

  • 1Department of Physical Sciences, Indian Institute of Science Education and Research Berhampur, Berhampur 760010, India
  • 2Department of Physics, Indian Institute of Technology-Bombay, Powai, Mumbai 400076, India
  • 3Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore

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Phys. Rev. A 107, L040202 – Published 6 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.L040202

Abstract

We study fluctuations in many-body quantum heat engines operating in the presence of collective system-bath interactions. We show that collective effects in open quantum systems can be harnessed to develop highly consistent many-body quantum engines. We consider quantum Otto engines, modeled by n spins collectively coupled to thermal baths. Our results show that collective effects can significantly reduce the fluctuations in the output work, quantified by high reliability (r) and low thermodynamic uncertainty. In contrast to independent engines, we demonstrate a quadratic enhancement of the reliability r for their collective counterparts. We extend our analysis to the case of interacting spin models commonly studied in many-body physics, such as the Lipkin-Meshkov-Glick (LMG) model, thereby broadening the regime of applicability of collective effects in quantum thermal machines significantly. This paves the way forward for realistic collective quantum thermal machines in many-body systems.

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Phys. Rev. A 107, L040202– Published 6 April, 2023
  • Received 11 August 2022
  • Accepted 10 March 2023
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