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

TL;DR

This paper derives exact formulas for entanglement in a two-spin-1/2 Heisenberg model with complex DM and KSEA interactions, revealing how these interactions influence quantum entanglement and disentanglement regions.

Contribution

It introduces a family of nine-parameter quantum states for the Heisenberg model with multiple DM and KSEA interactions and provides analytical formulas for their entanglement of formation.

Findings

DM and KSEA interactions significantly affect entanglement behavior.

Analytical formulas enable precise calculation of entanglement.

Disentangled regions are shaped by the interplay of 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.