Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction

This paper investigates the entanglement evolution of a two-qubit anisotropic Heisenberg XYZ chain in the presence of Dzyaloshinskii-Moriya interaction.The time evolution of the concurrence is studied for the initial pure entangled states cos θ |00 + sin θ |11 and cos |01 + sin |10 at zero temperature.The influences of Dzyaloshinskii-Moriya interaction D,anisotropic parameter and environment coupling strength γ on entanglement evolution are analysed in detail.It is found that the effect of noisy environment obviously suppresses the entanglement evolution,and the Dzyaloshinskii-Moriya interaction D acts on the time evolution of entanglement only when the initial state is cos |01 + sin |10.Finally,a formula of steady state concurrence is obtained,and it is shown that the stable concurrence,which is independent of different initial states and Dzyaloshinskii-Moriya interaction D,depends on the anisotropic parameter and the environment coupling strength γ.

Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii－Moriya interaction

This paper investigates the entanglement evolution of atwo-qubit anisotropic Heisenberg XYZ chain in the presence ofDzyaloshinskii--Moriya interaction. The time evolution of theconcurrence is studied for the initial pure entangled states $costheta leftvert 00rightrangle +sin theta leftvert11rightrangle $ and $cos phi leftvert 01rightrangle +sinphi leftvert 10rightrangle $ at zero temperature. Theinfluences of Dzyaloshinskii--Moriya interaction $D$, anisotropicparameter $varDelta$ and environment coupling strength $gamma$ onentanglement evolution are analysed in detail. It is found that theeffect of noisy environment obviously suppresses the entanglementevolution, and the Dzyaloshinskii--Moriya interaction $D$ acts onthe time evolution of entanglement only when the initial state is$cos phi leftvert 01rightrangle +sin phi leftvert10rightrangle $. Finally, a formula of steady state concurrence isobtained, and it is shown that the stable concurrence, which isindependent of different initial states and Dzyaloshinskii--Moriyainteraction $D$, depends on the anisotropic parameter $varDelta$and the environment coupling strength $gamma$.