Wigner function and the entanglement of a quantized Bessel-Gaussian vortex state of a quantized radiation field

A new kind of quantum non-Gaussian state with a vortex structure, termed a Bessel-Gaussian vortex state, is constructed, which is an eigenstate of the sum of squared annihilation operators a2 ＋ b2. The Wigner function of the quantum vortex state is derived and exhibits negativity which is an indicat...

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Published inChinese physics B Vol. 21; no. 8; pp. 234 - 240
Main Author 朱开成 李绍新 唐英 郑小娟 唐慧琴
Format Journal Article
LanguageEnglish
Published 01.08.2012
Subjects
Construction
Entanglement
Fluid flow
Indication
Non-Gaussian
Operators
Vortices
Wigner函数
塞尔
旋涡结构
涡环状态
纠缠
辐射场
量化
非高斯
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/8/084204

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Summary:A new kind of quantum non-Gaussian state with a vortex structure, termed a Bessel-Gaussian vortex state, is constructed, which is an eigenstate of the sum of squared annihilation operators a2 ＋ b2. The Wigner function of the quantum vortex state is derived and exhibits negativity which is an indication of nonclassicality. It is also found that a quantized vortex state is always in entanglement. And a scheme for generating such quantized vortex states is proposed.
Bibliography:Wigner distribution function, quantized vortex state, quantum non-Gaussian state
A new kind of quantum non-Gaussian state with a vortex structure, termed a Bessel-Gaussian vortex state, is constructed, which is an eigenstate of the sum of squared annihilation operators a2 ＋ b2. The Wigner function of the quantum vortex state is derived and exhibits negativity which is an indication of nonclassicality. It is also found that a quantized vortex state is always in entanglement. And a scheme for generating such quantized vortex states is proposed.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/8/084204