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 |
Citation: | 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 |
Appears in Collections: | Staff Publications |
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