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Quantum Correlated Heat Engine In XY Chainwith Dzyaloshinskii-Moriya Interactions

M. Asadian, Sodeif Ahadpour, Фороузан Мирмасоуди

Published Dec 6, 2021• 0 citations
Publisher

Abstract

Abstract In this paper, we consider a heat engines composed of two interactionalqubits with spin-orbit interaction (Dzyaloshinskii–Moriya (DM)) subjectto an external magnetic field, so that each qubit is considered as a cold orhot source. One intention of this work is to investigate the following question: is it possible the effects of DM lead to improve basic thermodynamicquantities in this heat engine are coupled to local environments that arenot necessarily at equilibrium? For this end, we investigate the effects ofthe temperature and the interaction rate of each qubit with its surrounding environment on quantum correlations such as quantum coherence andquantum discord and quantum entanglements, as well as the generatedwork. Finally we compare three quantum correlations (entanglement, discord, and coherence) with thermodynamic parameters and show that theoutput work is positive for what values of the magnetic field so that thiscycle can be considered as a thermal machine.

DOI
10.21203/rs.3.rs-1131732/v1

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Abstract In this paper, we consider a heat engines composed of two interactionalqubits with spin-orbit interaction (Dzyaloshinskii–Moriya (DM)) subjectto an external magnetic field, so that each qubit is considered as a cold orhot source. One intention of this work is to investigate the following question: is it possible the effects of DM lead to improve basic thermodynamicquantities in this heat engine are coupled to local environments that arenot necessarily at equilibrium? For this end, we investigate the effects ofthe temperature and the interaction rate of each qubit with its surrounding environment on quantum correlations such as quantum coherence andquantum discord and quantum entanglements, as well as the generatedwork. Finally we compare three quantum correlations (entanglement, discord, and coherence) with thermodynamic parameters and show that theoutput work is positive for what values of the magnetic field so that thiscycle can be considered as a thermal machine.
In this paper, we consider a heat engines composed of two interactional qubits with spin-orbit interaction (Dzyaloshinskii-Moriya (DM)) subject to an external magnetic field, so that each qubit is coupled with cold or hot source. One intention of this work is to investigate the following question: is it possible the effects of DM lead to improve basic thermodynamic quantities in this heat engine are coupled to local environments that are not necessarily at equilibrium? Moreover, we study whether or not quantum correlations can be helpful in the performance of quantum work engines. For this end, we investigate the effects of the temperature and the interaction rate of each qubit with its surrounding environment on quantum correlations such as quantum coherence and quantum discord and quantum entanglements, as well as the generated work. Finally we compare three quantum correlations (entanglement, discord, and coherence) with thermodynamic parameters and show that the output work is positive for what values of the magnetic field so that this cycle can be considered as a thermal machine.
Quantum heat engines have attracted significant attention in recent years due to their potential to surpass classical thermodynamic limits by leveraging quantum effects such as entanglement and coherence. In this study, we analyze a quantum Stirling heat engine characterized by a working substance composed of a two-particle Heisenberg model with Dzyaloshinskii–Moriya (DM) interaction under an external magnetic field. We investigate the impact of the antisymmetric interaction on the engine’s efficiency across varying coupling parameters. Our findings demonstrate that the utilization of a two-qubit Heisenberg model in an entangled quantum Stirling heat engine can significantly enhance efficiency and performance. By optimizing the antisymmetric exchange parameters, we achieve substantial enhancements in engine efficiency, with results demonstrating that the efficiency attains remarkably high values compared to other cycles utilizing the same working substance. These enhancements are primarily influenced by the DM interaction and the entangled states of the working substance, leading to superior performance.
Based on the isotropic two spin-1/2 qubits Heisenberg model with Dzyaloshinskii–Moriya interaction in a constant external magnetic field, we have constructed the entangled quantum Otto engine. Expressions for the basic thermodynamic quantities, i.e. the amount of heat exchange, the net work output and the efficiency, are derived. The influence of thermal entanglement on these basic thermodynamic quantities is investigated. Moreover, some intriguing features and their qualitative explanations in zero and finite magnetic field are given. The validity of the second law of thermodynamics is confirmed in the system. The results obtained here have general significance and will be useful in increasing understanding of the performance of an entangled quantum engine.
We investigate the pairwise thermal quantum discord in a three-qubit XXZ model with Dzyaloshinskii—Moriya (DM) interaction. We find that the effects of DM interaction on antiferromagnetic system is distinct from that of ferromagnetic system. The magnetic field supplemented with DM term contribute to enhance the range of quantum discord. It is revealed that the situations where quantum discord fails to indicate a sudden change of groundstate at finite temperature though indicating such a sudden change of groundstate at zero temperature. Dynamics of pairwise thermal quantum discord is considered as well. Thermal quantum discord vanishes in asymptotic limit regardless of its initial values, however, thermal entanglement suddenly disappears in finite time.
Quantum entanglement, as one of the most fundamental features of quantum theory, is the primary source of nonclassical correlations between subsystems and plays a crucial role in quantum energy and information transport phenomena. Investigating the thermal behavior of entanglement in simple systems, such as two-qubit models, provides an effective framework for analyzing the fundamental mechanisms governing quantum heat conduction. In this study, a two-qubit system with anisotropic interactions of the Dzyaloshinskii–Moriya (DM) and KSEA types was examined under an external magnetic field. To characterize the quantum correlations, two complementary measures are employed: negativity as an indicator of entanglement, and local quantum Fisher information (LQFI) as a measure of quantum correlations beyond entanglement. Numerical analysis reveals that the anisotropic structure of spin–spin interactions play a decisive role in the stability of entanglement at various temperatures. In particular, the presence of both DM and KSEA components can enhance the preservation of quantum correlations in the low-temperature regime, whereas the external magnetic field tends to suppress them. These findings provide new insights into the role of quantum correlations in the thermal processes of small-scale systems.
We investigate heat engines whose working substance is made of two coupled qubits performing a generalized Otto cycle by varying their applied magnetic field or their interaction strength during the compression and expansion strokes. During the heating and cooling strokes, the two qubits are coupled to local and common environments that are not necessarily at equilibrium. We find instances of quantum engines coupled to nonequilibrium common environments exhibiting nontrivial connections to quantum correlations as witnessed by a monotonic dependence of the work produced on quantum discord and entanglement.