Two Qubit Entanglement in Magnetic Chains with DM Antisymmetric Anisotropic Exchange Interaction

TL;DR

This paper investigates how the Dzialoshinskii-Moriya (DM) antisymmetric exchange interaction influences entanglement in two-qubit magnetic spin models, revealing its potential for quantum control and gate implementation.

Contribution

It demonstrates that DM interaction can enhance or induce entanglement in various magnetic models and explores its role in quantum phase transitions and quantum gate operations.

Findings

DM interaction can implement the SWAP gate.

Inclusion of DM interaction enhances entanglement.

Concurrence shows nonanalytic dependence on DM interaction.

Abstract

In the present paper an influence of the anisotropic antisymmetric exchange interaction, the Dzialoshinskii-Moriya (DM) interaction, on entanglement of two qubits in various magnetic spin models, including the pure DM model and the most general XYZ model are studied. We find that the time evolution generated by DM interaction can implement the SWAP gate and discuss realistic quasi-one-dimensional magnets where it can be realized. It is shown that inclusion of the DM interaction to any Heisenberg model creates, when it does not exist, or strengthens, when it exists, the entanglement. We give physical explanation of these results by studying the ground state of the systems at T=0. Nonanalytic dependence of the concurrence on the DM interaction and its relation with quantum phase transition is indicated. Our results show that spin models with the DM coupling have some potential applications in quantum computations and the DM interaction could be an efficient control parameter of entanglement.