Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model

Yong Yin, Lingen Chen, Feng Wu and Yanlin Ge

Physica A: Statistical Mechanics and its Applications, 2020, vol. 547, issue C

Abstract: The heat engine with entangled quantum system as working medium is called quantum entanglement heat engine A model of an endoreversible entangled quantum Stirling engine with heat transfer loss in which a one dimensional isotropic Heisenberg model is used as working medium is established in this paper. The thermodynamic performance of the endoreversible entangled quantum Stirling engine is studied by using the combination of quantum thermodynamics and finite time thermodynamics. Explicit expressions of dimensionless work output and thermal efficiency of the endoreversible entangled quantum Stirling engine are derived. Two linearly independent concurrences c1 and c3 are considered as a measure of entanglement of a two-qubits state. They are employed to study the influence of entanglement on the performance of the endoreversible entangled quantum Stirling engine. It is found that both the dimensionless work output and thermal efficiency are dependent on c1 and c3. Scince c1 and c3 are functions of temperature (T) and magnetic-field (B), it is possible to apply quantum control on the work output of the endoreversible entangled quantum Stirling engine by adjusting the values of T and B. There exists an optimal concurrence c1 which leads to a maximum work output W∗. While W∗ increases with increase of c3. The thermal efficiency η is a monotonically increasing function of c1 and c3. The maximum dimensionless work outputs corresponding to c3=0.7, c3=0.725 and c3=0.75 are 0.16255, 0.18965 and 0.21764, respectively. The corresponding thermal efficiencies are 0.3482, 0.37804 and 0.40637, respectively.

Keywords: Quantum thermodynamics; Finite time thermodynamics; Endoreversible quantum stirling engine; One dimensional isotropic Heisenberg model; Work output; Thermal efficiency (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119321429
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437119321429

DOI: 10.1016/j.physa.2019.123856

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().