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The Thermal Entanglement Effects of Heisenberg XY Model Under Non-uniform Magnetic Field

Zhang De-hua

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

In our paper,we study the thermal entanglement in three quibts under external magnetic field,using Heisenberg XY model,through method of density matrix.And We compute the entanglement-concurrence.We find the quantumquibt's entanglement behaviour under different external magnetic field at limit temperature.Base on our conclusion,one may realize quantum computation and get the most favourable entanglement by effective control on quantum bit through external magnetic field's adjusting.

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In our paper,we study the thermal entanglement in three quibts under external magnetic field,using Heisenberg XY model,through method of density matrix.And We compute the entanglement-concurrence.We find the quantumquibt's entanglement behaviour under different external magnetic field at limit temperature.Base on our conclusion,one may realize quantum computation and get the most favourable entanglement by effective control on quantum bit through external magnetic field's adjusting.
We investigate the thermal entanglement in the two-qubit Heisenberg XY model with a nonuniform magnetic field. Concurrence, the measurement of entanglement, is calculated. The behavior of concurrence is present at three different cases. Contrary to the uniform magnetic field case, we find that the entanglement and the critical temperature TC{T}_{C}TC​ may be enhanced under a nonuniform magnetic field.
We investigate the thermal entanglement of two-qubit anisotropic Heisenberg XY model in the presence of an external nonuniform magnetic field B along the z-axis. Concurrence, the measure of entanglement is calculated and its property is studied in different cases. Two best models, Ising model under a uniform magnetic and isotropic model in a nonuniform magnetic field, are discovered. In the two models, the critical temperature Tc (above which there is no entanglement) can be enhanced and its concurrence is maximal.
We investigate the thermal entanglement of Heisenberg-type coupled two-qubit system in the presence of two controllable magnetic fields (B+b) and (B-b). We find that under the condition of low temperature and uniform magnetic field, the entanglement between the two qubits exhibits platform-like behavior. By controlling the inhomogeneous magnetic field b and selecting suitable material we can optimize the thermal entanglement and enhance the critical temperature Tc of dead entanglement. We also find that the entanglement switch can be realized in a broader region of temperature by modulating the uniform field B.
Thermal entanglement is investigated in a two-qubit Heisenberg XY model with different inhomogeneous magnetic fields. It is found that the entanglement is dependent on the magnetic field, and the magnetic fields along different axes have different control efficiencies of entanglement. In addition, no matter in antiferromagnetic model or in ferromagnetic model, according to the relation between spin–spin coupling coefficients, the more efficient control parameters of entanglement can be obtained by adjusting the direction of external magnetic fields.