Tripartite states Bell-nonlocality sudden death in a quantum-critical environment

• Published in: Chinese physics B Vol. 19; no. 10; pp. 63 - 67
• Main Author: Zhang Deng-Yu Xie Li-Jun Tang Shi-Qing Zhan Xiao-Gui Chen Yin-Hua Gao Feng
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.10.2010
• Subjects: 初始状态; 有限时间; 横场伊辛模型; 贝尔不等式; 量子比特; 非局域性
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/19/10/100305

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 indicute that the Bell-inequality violations of the tripartite states will be completely destroyed by the decoherence under certain conditions.