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Optimal linear cyclic quantum heat engines cannot benefit from strong coupling

Junjie Liu1,* and Kenneth A. Jung2,†

  • 1Department of Physics, International Center of Quantum and Molecular Structures, Shanghai University, Shanghai 200444, China
  • 2Department of Chemistry, Stanford University, Stanford, California 94305, USA

  • *jj_liu@shu.edu.cn
  • †kajung@stanford.edu

Phys. Rev. E 106, L022105 – Published 30 August, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.L022105

Abstract

Uncovering whether strong system-bath coupling can be an advantageous operation resource for energy conversion can facilitate the development of efficient quantum heat engines (QHEs). Yet, a consensus on this ongoing debate is still lacking owing to challenges arising from treating strong couplings. Here, we conclude the debate for optimal linear cyclic QHEs operated under a small temperature difference by revealing the detrimental role of strong system-bath coupling in their optimal operations. We analytically demonstrate that both the efficiency at maximum power and maximum efficiency of strong-coupling linear cyclic QHEs are upper bounded by their weak-coupling counterparts with the same degree of time-reversal symmetry breaking. Under strong time-reversal symmetry breaking, we further reveal a quadratic suppression of the optimal efficiencies relative to the Carnot limit when away from the weak-coupling regime, along with a quadratic enhancement of the mean entropy production rate.

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