Abstract
We study the thermal entanglement of Heisenberg XXX model in an external magnetic field by using the method of concurrence. We study the quantum entanglement in the two qubit XXX model and XXZ model, and apply independent controllable external magnetic field to the two qubits respectively, and discuss the behavior of quantum entanglement by changing the coupling parameters, magnetic field and magnetic field. The results show that the behavior of quantum entanglement is different in a certain range of parameters.
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