Bell Function Values Approach to Topological Quantum Phase Transitions

Details Bell Function Values Approach to Topological Quantum Phase Transitions Bell Function Values Approach to Topological Quantum Phase Transitions

2011-11-18

arxiv.org/abs/1111.4341v1

Physics

Quantum Physics

4pages

Scientific paper

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.

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