Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.86.032305
Title: Bell nonlocality in conventional and topological quantum phase transitions
Authors: Deng, D.-L. 
Wu, C. 
Chen, J.-L. 
Gu, S.-J.
Yu, S. 
Oh, C.H. 
Issue Date: 10-Sep-2012
Source: Deng, D.-L., Wu, C., Chen, J.-L., Gu, S.-J., Yu, S., Oh, C.H. (2012-09-10). Bell nonlocality in conventional and topological quantum phase transitions. Physical Review A - Atomic, Molecular, and Optical Physics 86 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.86.032305
Abstract: We investigate the critical behaviors of the Bell nonlocality, which are measured by the Bell-function values, in conventional and topological quantum-phase transitions. First, by using the quantum-renormalization-group method, we show that the Bell function value of a three-qubit Bell inequality in the anisotropic spin-1/2 XY model exhibits singular behaviors at the critical point. Moreover, for topological quantum-phase transitions, we find that the first-order derivative of the Bell-function value of the well-known Clauser-Horne-Shimony-Holt inequality in the Kitaev-Castelnovo-Chamon model behaves singularly at the topological-phase-transition point. Our results have established a link between quantum nonlocality and phase transitions. © 2012 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/52808
ISSN: 10502947
DOI: 10.1103/PhysRevA.86.032305
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