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Geometric phase, quantum Fisher information, geometric quantum correlation and quantum phase transition in the cavity-Bose–Einstein-condensate system

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Abstract

We investigate the quantum phase transition of an atomic ensemble trapped in a single-mode optical cavity via the geometric phase and quantum Fisher information of an extra probe atom which is injected into the optical cavity and interacts with the cavity field. We also find that the geometric quantum correlation between two probe atoms exhibits a double sudden transition phenomenon and show this double sudden transition phenomenon is closely associated with the quantum phase transition of the atomic ensemble. Furthermore, we propose a theoretical scheme to prolong the frozen time during which the geometric quantum correlation remains constant by applying time-dependent electromagnetic field.

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Acknowledgments

This project was supported by the National Natural Science Foundation of China (Grant No. 11274274) and the fundamental Research Funds for the Central Universities (Grant No. 2016FZA3004).

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Authors and Affiliations

  1. Zhejiang Institute of Modern Physics and Physics Department, Zhejiang University, Hangzhou, 310027, China

    Wei Wu & Jing-Bo Xu

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  1. Wei Wu
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  2. Jing-Bo Xu
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Correspondence to Jing-Bo Xu.

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Wu, W., Xu, JB. Geometric phase, quantum Fisher information, geometric quantum correlation and quantum phase transition in the cavity-Bose–Einstein-condensate system. Quantum Inf Process 15, 3695–3709 (2016). https://doi.org/10.1007/s11128-015-1186-7

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  • DOI: https://doi.org/10.1007/s11128-015-1186-7

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