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Photon-Number Distribution and Wigner Function of Generalized Squeezed Thermal State

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Abstract

In this paper, we present the density operator of the generalized squeezed thermal state (GSTS) and obtain its normal ordering form by virtue of the technique of integration within an ordered product of operators and the Weyl ordering invariance under similarity transformations. Some significant quantum statistical properties of the GSTS are investigated, such as the photon-number distribution (PND) and the Wigner function (WF). It is found that the PND of the GSTS is a Legendre polynomial, and its squeezed vacuum oscillations imply the nonclassicality, as well as the GSTS whose WF has no negative region is indeed a special type of nonclassical state.

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Authors and Affiliations

  1. Department of Material and Chemical Engineering, West Anhui University, Lu’an, Anhui, 237012, China

    Jun Zhou, Jun Song, Hao Yuan & Bo Zhang

  2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, China

    Jun Zhou, Jun Song & Hong-Yi Fan

  3. College of Physics & Materials Science, Anhui University, Hefei, Anhui, 230039, China

    Chuan-Mei Xie

Authors
  1. Jun Zhou
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  2. Jun Song
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  3. Hao Yuan
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  4. Bo Zhang
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  5. Chuan-Mei Xie
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  6. Hong-Yi Fan
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Corresponding author

Correspondence to Jun Zhou.

Additional information

Work supported by the Excellent Young Talents Fund of Higher School in Anhui Province (No. 2011SQRL147) and the Doctoral Program of Higher Education of China (New Teacher) (No. 20113401120004).

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Zhou, J., Song, J., Yuan, H. et al. Photon-Number Distribution and Wigner Function of Generalized Squeezed Thermal State. Int J Theor Phys 51, 2681–2689 (2012). https://doi.org/10.1007/s10773-012-1166-y

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  • DOI: https://doi.org/10.1007/s10773-012-1166-y

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