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Wigner Function of the Two-Mode Squeezing-Enhanced Vacuum State

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Abstract

We find the two-mode generalized squeezing operator with two parameters can be separated into the product of a ordinary squeezing operator S 2(ξ) and a rotating operator R 2(θ). Acting it on the two-mode vacuum state, one can get two-mode squeezing-enhanced vacuum state (TSEVS). Compared with the usual two-mode squeezed vacuum state, TSEVS exhibits stronger squeezing properties. With the help of the operator’s Weyl-ordering invariance under the similarity transformation, we derive the Wigner function of the TSEVS.

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Authors and Affiliations

  1. Department of Physics, Huainan Normal University, Huainan, 232001, China

    Gang Ren & Jian-Ming Du

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  1. Gang Ren
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  2. Jian-Ming Du
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Correspondence to Gang Ren.

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Ren, G., Du, JM. Wigner Function of the Two-Mode Squeezing-Enhanced Vacuum State. Int J Theor Phys 51, 3452–3457 (2012). https://doi.org/10.1007/s10773-012-1229-0

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  • DOI: https://doi.org/10.1007/s10773-012-1229-0

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