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Statistical Properties of the Generalized Photon-Added Pair Coherent State

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Abstract

We present a class of generalized photon-added pair coherent states (GPAPCS) and analyze some prominent nonclassical properties such as sub-Poissonian distribution and violations of Cauchy-Schwarz inequalities. In addition, we derive that the Wigner function of GPAPCS involves correlation of two two-variable Hermite polynomials and its Husimi function is related to a two-variable Hermite polynomial. Their behaviors varying with the phase space parameters are also graphically discussed. We find that the nonclassical effects of GPAPCS exhibits more with increasing of excitation photon numbers.

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Authors and Affiliations

  1. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China

    Hong-Chun Yuan, Xue-Xiang Xu & Hong-Yi Fan

  2. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China

    Xue-Xiang Xu

Authors
  1. Hong-Chun Yuan
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  2. Xue-Xiang Xu
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  3. Hong-Yi Fan
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Correspondence to Hong-Chun Yuan.

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Yuan, HC., Xu, XX. & Fan, HY. Statistical Properties of the Generalized Photon-Added Pair Coherent State. Int J Theor Phys 48, 3596 (2009). https://doi.org/10.1007/s10773-009-0166-z

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  • DOI: https://doi.org/10.1007/s10773-009-0166-z

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