Entanglement in a two-qubit Heisenberg XXX chain with x-components of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions

TL;DR

This paper investigates how entanglement in a two-qubit Heisenberg XXX chain is affected by temperature, coupling constants, and specific interactions, revealing conditions for state separability and entanglement.

Contribution

It provides a new analytical expression for concurrence considering Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions in the system.

Findings

High temperature or ferromagnetic chains lead to state separability.

High x-components D_x or Γ_x induce entanglement.

Antiferromagnetic chains favor entanglement.

Abstract

This article explores the concurrence, including entanglement, in a two-qubit Heisenberg XXX chain with Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions. The concurrence expression was developed using the physical variables connected with the chosen system. Our results indicate that temperature, the spin coupling constant $J$, the x-components $D_x$, and $\Gamma_x$ may all play a role in determining the degree of intricacy between states. Additionally, these findings imply that the separability of states is possible for high-temperature domains or ferromagnetic chains. In contrast, the entanglement of states may be achieved by using high values for the x-components $D_x$ or $\Gamma_x$ parameters or by using an antiferromagnetic chain.