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Wigner Functions and Tomograms of the Even and Odd Negative Binomial States

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Abstract

Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, the Wigner functions of the even and odd negative binomial states (NBSs) are obtained. We concentrate our analysis on the fact that the even and odd NBSs interpolate between the even and odd coherent states and the even and odd quasi-thermal states depending on the values of the parameters involved. Moreover, the tomograms of the even and odd NBSs are calculated by virtue of intermediate coordinate-momentum representation in quantum optics.

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Authors and Affiliations

  1. School of Physical Science and Information Engineering, Liaocheng University, Shandong Province, 252059, People’s Republic of China

    Xiao-Yan Zhang, Ji-Suo Wang, Xiang-Guo Meng & Jie Su

Authors
  1. Xiao-Yan Zhang
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  2. Ji-Suo Wang
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  3. Xiang-Guo Meng
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  4. Jie Su
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Corresponding author

Correspondence to Ji-Suo Wang.

Additional information

Project 10574060 supported by the National Natural Science Foundation of China and project Q2007A01 supported by the Natural Science Foundation of Shandong Province.

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Zhang, XY., Wang, JS., Meng, XG. et al. Wigner Functions and Tomograms of the Even and Odd Negative Binomial States. Int J Theor Phys 48, 803–814 (2009). https://doi.org/10.1007/s10773-008-9854-3

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  • DOI: https://doi.org/10.1007/s10773-008-9854-3

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