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

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.

arXiv comment20 pages, 4 figures (5 eps files)

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• Entanglement in a two-qubit Heisenberg XXX chain with x-components of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
• Quantum Otto heat engines on XYZ spin working medium with DM and KSEA interactions: Operating modes and efficiency at maximal work output
• Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
• Quantum dynamics of a bosonic mode and a two-level system interacting with several reservoirs
• Magnetoelastic control of quantum correlations and field sensitivity in a spin-1/2 Heisenberg dimer
• Inter-qubit correlation dynamics driven by mutual interactions