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Probing Nonclassicality of Two-Mode SU(2) Generator Based on Quantum Fisher Information

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  • 1. School of Chemistry and Material Science, Guizhou Normal University, Guiyang 550001, China;
    2. School of Mathematics, Guizhou Normal University, Guiyang 550001, China;
    3. Quantum Physics and Quantum Information Division, Beijing Computational Science Research Center, Beijing 100084, China;
    4. Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China

Received date: 2018-05-18

  Revised date: 2018-07-02

  Online published: 2018-11-01

Supported by

Supported by the National Natural Science Foundation of China under Grant No. 11365006 and the Natural Science Foundation of Guizhou Province under Grant No. QKHLHZ[2015]7767

Abstract

Nonclassicality is an essential but still open question in quantum mechanics. Here, utilizing the maximum value of quantum Fisher information, we suggest a new version of the nonclassical criterion for SU(2) generator realized by two bosonic modes. As an application of the criterion, the system of two coupled nonlinear nanomechanical resonators is considered. And the nonclassicality of the phonon state in the dynamical evolution is explored. The system has a dynamical phase transition from the tunnelling phase to the self-trapping phase by tuning the coupling strength. It is found that for the tunnelling phase, the phonon state is nonclassical in the full time evolution. And for the self-trapping phase, the evolved phonon state is still nonclassical in the full time with a relatively large coupling strength, while it is nonclassical i n the most of time (but not all) with a small coupling strength. Quantum coherence has distinct different behaviors in the two phases.

Cite this article

Dan Zhang, Qiang Zheng, Xiao-Guang Wang . Probing Nonclassicality of Two-Mode SU(2) Generator Based on Quantum Fisher Information[J]. Communications in Theoretical Physics, 2018 , 70(05) : 552 -558 . DOI: 10.1088/0253-6102/70/5/552

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