Dzyaloshinskii-Moriya interactions effects on the entanglement dynamics of a two qubit xxz spin system in non-Markovian environment

TL;DR

This paper studies how Dzyaloshinskii-Moriya interactions influence entanglement dynamics in a two-qubit XXZ spin system within a non-Markovian environment, revealing conditions that enhance or preserve entanglement.

Contribution

It provides an exact analysis of entanglement evolution considering DM interactions, magnetic fields, and temperature effects, highlighting their roles in entanglement generation and preservation.

Findings

DM interactions generate and enhance entanglement in initially entangled pairs.

High temperatures and weak qubit coupling make DM interactions crucial for entanglement preservation.

External magnetic fields and Heisenberg couplings can improve entanglement retention at high temperatures.

Abstract

We investigate the exact entanglement dynamics of a two-qubit Heisenberg XXZ chain with Dzyaloshinskii-Moriya (DM) interactions, interacting with an anisotropic spin bath in thermal equi- librium at a temperature T, driven by an external magnetic field B along the z-axis. We establish that, for an initially entangled qubit pair, the DM interactions generate entanglement and enhance the entanglement in the revival region. The effects of the DM interaction are also seen to be very important at high temperatures and for weak coupling between the two qubits where it is seen to preserve entanglement. These effects are weakened when the magnetic field B and the Heisenberg coupling are switched on. If the two-qubits are prepared in an initially separable state, the DM in- teraction instead has a negative effect on their entanglement. On a whole entanglement can better be preserve in the spin chain even at high temperatures by increases the external magnetic field B and the Heisenberg couplings, and by tuning the strength of the DM interaction.