Quantum entanglement in the anisotropic Heisenberg model with multicomponent DM and KSEA interactions

• URL: http://arxiv.org/abs/2103.01545v1
• Date: Tue, 2 Mar 2021 08:05:38 GMT
• Title: Quantum entanglement in the anisotropic Heisenberg model with multicomponent DM and KSEA interactions
• Authors: A. V. Fedorova and M. A. Yurischev
• Abstract summary: We find a family of four quantum states for the two-spin-1/2 Heisenberg system in an external magnetic field. The influence of DM and KSEA interactions on the behavior of entanglement and on the shape of disentangled region is studied. A connection between the two-qubit quantum states and the reduced density matrices of many-particle systems is discussed.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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. The influence of DM and KSEA interactions on the behavior of entanglement and on the shape of disentangled region is studied. A connection between the two-qubit quantum states and the reduced density matrices of many-particle systems is discussed.

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