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International Conference on Micro- and Nano-Electronics (ICMNE)

Quantum entanglement in a family of Heisenberg models with the multiple components of Dzyaloshinsky-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions

А. В. Федорова, Mikhail A. Yurischev

Published Jan 31, 2022• 0 citations
Publisher

Abstract

Quantum entanglement is one of the most important measures of quantum correlations. Using group-theoretical approach we found a family of four nine-parameter quantum states for the two-spin-1/2 Heisenberg system in an external magnetic field and with multiple components of Dzyaloshinsky-Moriya (DM) and Kaplan-Shekhtman- Entin-Wohlman-Aharony (KSEA) interactions. Exact analytical formulas are derived for the entanglement of formation for the quantum states found. In the proceeding, the family of found states and the structure of interactions in them are discussed.

DOI
10.1117/12.2622369

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Quantum entanglement is one of the most important measures of quantum correlations. Using group-theoretical approach we found a family of four nine-parameter quantum states for the two-spin-1/2 Heisenberg system in an external magnetic field and with multiple components of Dzyaloshinsky-Moriya (DM) and Kaplan-Shekhtman- Entin-Wohlman-Aharony (KSEA) interactions. Exact analytical formulas are derived for the entanglement of formation for the quantum states found. In the proceeding, the family of found states and the structure of interactions in them are discussed.
The connection between quantum entanglement and quantum refrigerators is an active area in quantum thermodynamics. Ongoing investigations are exploring how entanglement in the working medium of a quantum refrigerator can impact its performance. The paper focuses on a two-qubit Heisenberg XXZ spin-[Formula: see text] system featuring Kaplan–Shekhtman–Entin-Wohlman–Aharony (KSEA) and Dzyaloshinsky–Moriya (DM) spin–orbit exchange interactions as the operational physical matter medium for a quantum refrigerator. We provide explicit formulations for relevant thermodynamic quantities of the quantum refrigerator, dependent on the magnetic field (B) and the strengths parameters of spin–orbit interactions. The study explores the relationship between entanglement and thermodynamic properties, using concurrence as a quantitative metric of thermal entanglement. The results emphasize the significant impact of fine-tuning the amplitudes of both DM and [Formula: see text] strengths on improving the quantum refrigerator’s performance. Finally, the findings suggest that entanglement between the qubits is superfluous for enhancing the quantum refrigerator’s efficiency.
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.