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The Wigner Function and the Husimi Function of the One- and Two-Mode Combination Squeezed State

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Abstract

In this paper we study the character of the Wigner function and Husimi function of the one- and two mode combining squeezed state (OTCSS) on the basis of plotting the three dimensional graphics of the Wigner function and Husimi function. It is easy to calculate the Husimi function of the OTCSS in entangled two-mode state by virtue of the formula of entangled two-mode Husimi operator: Δ h (σ,γ;κ)=| σ,γ〉 κ κ 〈σ,γ | (Fan, H.-Y., Guo, Q. in Phys. Lett. A 358:203–210, 2006). It is clearly found that the evolution law of Husimi function of OTCSS is different from the Wigner function.

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Authors and Affiliations

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

    Qin Guo

  2. Department of Physics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China

    Qin Guo

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  1. Qin Guo
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Correspondence to Qin Guo.

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Work supported by the specialized research fund for the doctoral progress of higher education in China.

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Guo, Q. The Wigner Function and the Husimi Function of the One- and Two-Mode Combination Squeezed State. Int J Theor Phys 46, 3135–3149 (2007). https://doi.org/10.1007/s10773-007-9428-9

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  • DOI: https://doi.org/10.1007/s10773-007-9428-9

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