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Recently, along with the development of quantum information, quantumentanglemant became a hot topic of people. Quantum entanglemant is one of themost amazing phenomenon in quantum mechanics that is totally different fromclassical physics. However, system would interact with environment in thepractical quantum information process. The entanglement would be broken. Inthis paper, we study the disentanglement evolution of three spin qubits in anXY spin-chain environment. The dynamical process of the disentanglement isinvestigated. We found the exact expression of the coherence factor. We discussthe coherence factor and the parameters, and then we illustrate that thedisentanglement of central spins is best enhanced by the quantum criticalbehavior of the environmental spin chain. Furthermore, a scaling rule isobtained.

Effect of quantum phase transition in the disentanglement of three spins coupled to an XY spin chain