Nonclassicality of Single-Variable Hermite Polynomial State and Its Fidelity with Squeezed Vacuum State |
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Authors: | Guo-bin Tan Li-juan Xu Shan-jun Ma |
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Institution: | 1. College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China
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Abstract: | The nonclassicality of the single-variable Hermite polynomial state (SHPS) and its fidelity with squeezed vacuum state are
studied in this paper. It is found that the SHPS can be considered as a single mode photon subtracted squeezed vacuum state.
A compact expression for the Wigner function (WF) is also derived analytically by using the Weyl-ordered operator invariance
under similar transformations. Especially, the nonclassicality is discussed in terms of the negativity of the WF. At last,
the fidelity as a non-Gaussianity measure for this state is also discussed. |
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