Effects Of The Magnetic Field And Dzyaloshinsky-Moriya Interaction On The Thermal Entanglement Of The Heisenberg Model

Entanglement is one of the most distinctive features of quantum mechanical systems and has no classical analog. It has been the focus of much work recently due to its key role in the quantum communication areas. Many studies have focused on the thermal entanglement between the qubits in the Heisenberg model.In our paper, we study the properties of thermal entanglement of some Heisen-berg systems. Firstly, we study the phenomenon about thermal entanglement of a three-qubit Heisenberg model with an inhomogeneous magnetic field and Dzyaloshin-sky-Moriya interaction. We find that the thermal entanglement is in the inverse ratio of the temperature. The magnetic field and Dzyaloshinsky-Moriya interaction can suppress the effects of temperature on thermal entanglement, and we are able to regulate the thermal entanglement and critical temperature by adjusting mag-netic field and Dzyaloshinsky-Moriya interaction parameter. Besides, we can obtain higher thermal entanglement with an inhomogeneous magnetic field contrasting to uniform magnetic field. Finally, we give the study on thermal entanglement of (1/2,1) mixed-spin Heisenberg model with Dzyaloshinsky-Moriya interaction and anisotropy. We can obtain the higher thermal entanglement by adjusting anisotropy and Dzyaloshinsky-Moriya interaction parameter.These results indicate that anisotropy parameter, the magnetic field and Dzyalo-shinsky-Moriya interaction can be used to open and close entanglement.