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Nonclassicality of a two-variable Hermite polynomial state |
Tan Guo-Bin(谭国斌), Xu Li-Juan(徐莉娟), and Ma Shan-Jun(马善钧)† |
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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Received: 19 October 2011
Revised: 23 November 2011
Accepted manuscript online:
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PACS:
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42.50.Dv
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(Quantum state engineering and measurements)
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03.65.Wj
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(State reconstruction, quantum tomography)
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11047133), the Natural Science Foundation of Jiangxi Province of China (Grant No. 2010GQW0027), and the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ11390). |
Corresponding Authors:
Ma Shan-Jun,shanjunma@126.com
E-mail: shanjunma@126.com
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Cite this article:
Tan Guo-Bin(谭国斌), Xu Li-Juan(徐莉娟), and Ma Shan-Jun(马善钧) Nonclassicality of a two-variable Hermite polynomial state 2012 Chin. Phys. B 21 044210
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