Performance optimization on finite-time quantum Carnot engines and refrigerators based on spin-1/2 systems driven by a squeezed reservoir
Haoguang Liu(刘浩广)1,2, Jizhou He(何济洲)1, and Jianhui Wang(王建辉)1,3,†
1 Department of Physics, Nanchang University, Nanchang 330031, China; 2 College of Science and Technology, Nanchang Aeronautical University, Nanchang 332020, China; 3 State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China
Abstract We investigate the finite-time performance of a quantum endoreversible Carnot engine cycle and its inverse operation — Carnot refrigeration cycle, employing a spin- system as the working substance. The thermal machine is alternatively driven by a hot boson bath of inverse temperature and a cold boson bath at inverse temperature . While for the engine model the hot bath is constructed to be squeezed, in the refrigeration cycle the cold bath is established to be squeezed, with squeezing parameter . We obtain the analytical expressions for both efficiency and power in heat engines and for coefficient of performance and cooling rate in refrigerators. We find that, in the high-temperature limit, the efficiency at maximum power is bounded by the analytical value , and the coefficient of performance at the maximum figure of merit is limited by , where and are the respective Carnot values of the engines and refrigerators. These analytical results are identical to those obtained from the Carnot engines based on harmonic systems, indicating that the efficiency at maximum power and coefficient at maximum figure of merit are independent of the working substance.
Received: 18 July 2022
Revised: 12 October 2022
Accepted manuscript online: 11 November 2022
PACS:
05.70.Ln
(Nonequilibrium and irreversible thermodynamics)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11875034) and the Opening Project of Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology.
Corresponding Authors:
Jianhui Wang
E-mail: wangjianhui@ncu.edu.cn
Cite this article:
Haoguang Liu(刘浩广), Jizhou He(何济洲), and Jianhui Wang(王建辉) Performance optimization on finite-time quantum Carnot engines and refrigerators based on spin-1/2 systems driven by a squeezed reservoir 2023 Chin. Phys. B 32 030503
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