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Curvature detection by entanglement generation using a beam splitter

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Abstract

In this paper, we investigate the behavior of radiation field, whose state is described by the so-called sphere coherent state, through a beam splitter. These states are realization of coherent states of two-dimensional harmonic oscillator, which lives on a sphere, as radiation field. By using the linear entropy as a measure of entanglement, we show that the entanglement depends on the curvature of the sphere. So, by using the appropriating sphere coherent states, we can control the entanglement of the output states of the beam splitter in the laboratory. In addition, as the convince measures of non-classical behaviors, we consider Mandel parameters of the output states of the beam splitter and their quadrature squeezing.

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Acknowledgments

Ali Mahdifar wish to thank the Shahrekord University for its support. Shahram Dehdashti and Hongsheng Chen wish to thank the National Natural Science Foundation of China (Grant Nos. 61322501 and 61275183), the National Program for Special Support of Top-Notch Young Professionals, the Program for New Century Excellent Talents (Grant No. NCET-12-0489) in University, and the Fundamental Research Funds for the Central Universities (Grant No. 2014XZZX003-24). Also, Rasoul Roknizadeh wish to thank the University of Isfahan for their support.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Shahrekord University, 88186-34141, Shahrekord, Iran

    Ali Mahdifar

  2. State Key Laboratory of Modern Optical Instrumentations, Zhejiang University, Hangzhou, 310027, China

    Shahram Dehdashti & Hongsheng Chen

  3. The Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou, 310027, China

    Shahram Dehdashti & Hongsheng Chen

  4. Department of Physics, Quantum Optics Group, University of Isfahan, 81746-73441, Hezar Jerib, Isfahan, Iran

    Shahram Dehdashti & Rasoul Roknizadeh

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  1. Ali Mahdifar
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  2. Shahram Dehdashti
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  4. Hongsheng Chen
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Correspondence to Shahram Dehdashti.

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Mahdifar, A., Dehdashti, S., Roknizadeh, R. et al. Curvature detection by entanglement generation using a beam splitter. Quantum Inf Process 14, 2895–2907 (2015). https://doi.org/10.1007/s11128-015-1027-8

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  • DOI: https://doi.org/10.1007/s11128-015-1027-8

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