Tripartite states Bell-nonlocality sudden death in a quantum-critical environment |
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| Authors: | Zhang Deng-Yu Xie Li-Jun Tang Shi-Qing Zhan Xiao-Gui Chen Yin-Hua and Gao Feng |
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| Affiliation: | Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China |
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| Abstract: | We demonstrate that multipartite Bell-inequalities violations can be fully destroyed in finite time in three-qubit states under a quantum-critical environment, which is an Ising model in a transverse field. We use the Mermin--Ardehali--Belinksii--Klyshko (MABK) inequality to detect the degree of nonlocality as measured by the extent of their violations. The effects of system-environment couplings, the size of degrees of freedom of environment and the strength of transverse field on the Bell-inequality violations are given for two different initial states, namely, the W class and GHZ class states. The results indicate that the Bell-inequality violations of the tripartite states will be completely destroyed by the decoherence under certain conditions. |
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| Keywords: | Bell-type inequality Bell-nonlocality sudden death quantum-critical environment |
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