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International Journal of Theoretical Physics

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

Gang Ren, Jian-ming Du

Published Jun 9, 2012• 4 citations
Publisher
DOI
10.1007/s10773-012-1229-0

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In this paper, the two-mode excited squeezed vacuum state (TESVS) is studied by using the statistical method. By calculating the normalization of the TESVS, a new form of Jacobi polynomials and some new identities are obtained. The photon number distribution of the TESVS is given and it is a simple form of Jacobi polynomials. Using the entangled state representation of Wigner operator, the Wigner function of the TESVS is obtainded and the variations of the Wigner function with the parameters m, n, and r are discussed. Here from the phase space point of view the TESVS can be well interpreted and described.