Nonclassicality of a two-variable Hermite polynomial state

被引：2

作者：

Tan Guo-Bin ^{[1
]}

Xu Li-Juan ^{[1
]}

Ma Shan-Jun ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Coll Phys & Commun Elect, Nanchang 330022, Peoples R China

来源：

CHINESE PHYSICS B | 2012年 / 21卷 / 04期

基金：

中国国家自然科学基金;

关键词：

nonclassicality; Hermite polynomial state; Wigner function; Bell's inequality; NEWTON-LEIBNIZ INTEGRATION; KET-BRA OPERATORS; QUANTUM-MECHANICS; PHASE PROPERTIES; WIGNER FUNCTION; PHOTON STATISTICS; DENSITY OPERATOR; VACUUM STATE; COHERENT; ENTANGLEMENT;

D O I：

10.1088/1674-1056/21/4/044210

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：10

共 50 条

[1] Nonclassicality of a two-variable Hermite polynomial state
谭国斌
徐莉娟
马善钧
[J]. Chinese Physics B, 2012, 21 (04) : 340 - 349
[2] Two-variable Hermite Polynomial State and Its Wigner Function
Xiang-Guo Meng
Ji-Suo Wang
Bao-Long Liang
[J]. International Journal of Theoretical Physics, 2009, 48 : 3268 - 3277
[3] Two-variable Hermite Polynomial State and Its Wigner Function
Meng, Xiang-Guo
Wang, Ji-Suo
Liang, Bao-Long
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2009, 48 (11) : 3268 - 3277
[4] New operator identities with regard to the two-variable Hermite polynomial by virtue of entangled state representation
Yuan Hong-Chun
Li Heng-Mei
Xu Xue-Fen
[J]. CHINESE PHYSICS B, 2013, 22 (06)
[5] New operator identities with regard to the two-variable Hermite polynomial by virtue of entangled state representation
袁洪春
李恒梅
许雪芬
[J]. Chinese Physics B, 2013, 22 (06) : 166 - 169
[6] Quantum state for the two-variable Hermite polynomial-Gaussian laser modes of the electromagnetic field
Zhou, Jun
Fan, Hong-Yi
[J]. OPTIK, 2012, 123 (13): : 1212 - 1217
[7] Excited Two-Mode Generalized Squeezed Vacuum State as a Squeezed Two-Variable Hermite Polynomial Excitation State
Xu, Ye-Jun
Yuan, Hong-Chun
Liu, Qiu-Yu
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2010, 49 (05) : 1106 - 1117
[8] Excited Two-Mode Generalized Squeezed Vacuum State as a Squeezed Two-Variable Hermite Polynomial Excitation State
Ye-Jun Xu
Hong-Chun Yuan
Qiu-Yu Liu
[J]. International Journal of Theoretical Physics, 2010, 49 : 1106 - 1117
[9] Two-mode squeezed number state as a two-variable Hermite-polynomial excitation on the squeezed vacuum
Hu, Li-Yun
Fan, Hong-Yi
[J]. JOURNAL OF MODERN OPTICS, 2008, 55 (13) : 2011 - 2024
[10] Nonclassicality of Single-Variable Hermite Polynomial State and Its Fidelity with Squeezed Vacuum State
Guo-bin Tan
Li-juan Xu
Shan-jun Ma
[J]. International Journal of Theoretical Physics, 2012, 51 : 462 - 476

← 1 2 3 4 5 →