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

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.