Nonclassicality of a two-variable Hermite polynomial state |
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Authors: | Tan Guo-Bin Xu Li-Juan Ma Shan-Jun |
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Institution: | College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
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Abstract: | The nonclassicality of the two-variable Hermite polynomial state is investigated. It is found that the two-variable Hermite polynomial state can be considered as a two-mode photon subtracted squeezed vacuum state. A compact expression for the Wigner function 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 Wigner function. Then violations of Bell's inequality for the two-variable Hermite polynomial state are studied. |
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Keywords: | nonclassicality Hermite polynomial state Wigner function Bell's inequality |
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