Bell Function Values Approach to Topological Quantum Phase Transitions
Quantum Physics
2011-11-21 v1
Abstract
We investigate the relation between Bell function values (BFV) of the reduced density matrix and the topological quantum phase transitions in the Kitaev-Castelnovo-Chamon model. % [Phys. Rev. B \textbf{77}, %054433 (2008)]. We find that the first order derivative of BFV exhibits singular behavior at the critical point and we propose that it can serve as a good and convenient marker for the transition point. More interestingly, the value of the critical point can be analytically obtained in this approach. Since the BFV serves as a measure of nonlocality when it is greater than the classical bound of the correlation functions, our work has established a link between quantum nonlocality and phase transitions.
Keywords
Cite
@article{arxiv.1111.4341,
title = {Bell Function Values Approach to Topological Quantum Phase Transitions},
author = {Dong-Ling Deng and Chunfeng Wu and Jing-Ling Chen and Shi-Jian Gu and Sixia Yu and C. H. Oh},
journal= {arXiv preprint arXiv:1111.4341},
year = {2011}
}
Comments
4pages