Nonclassicality of a two-variable Hermite polynomial state

doi:10.1088/1674-1056/21/4/044210

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 44210-044210.doi: 10.1088/1674-1056/21/4/044210

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

谭国斌,徐莉娟,马善钧

收稿日期:2011-10-19 修回日期:2011-11-23 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 马善钧,shanjunma@126.com E-mail:shanjunma@126.com

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

Received:2011-10-19 Revised:2011-11-23 Online:2012-02-29 Published:2012-02-29
Contact: Ma Shan-Jun,shanjunma@126.com E-mail:shanjunma@126.com
Supported by:
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).

摘要/Abstract

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.

Key words: nonclassicality, Hermite polynomial state, Wigner function, Bell's inequality

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

03.65.Wj (State reconstruction, quantum tomography)

谭国斌,徐莉娟,马善钧. [J]. 中国物理B, 2012, 21(4): 44210-044210.

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[J]. Chin. Phys. B, 2012, 21(4): 44210-044210.

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Nonclassicality of a two-variable Hermite polynomial state

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