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

doi:10.1088/1674-1056/21/8/084204

中国物理B ›› 2012, Vol. 21 ›› Issue (8): 84204-084204.doi: 10.1088/1674-1056/21/8/084204

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

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

朱开成, 李绍新, 唐英, 郑小娟, 唐慧琴

a School of Physical Science and Technology, Central South University, Changsha 410083, China;
b Physical Staff Room, Guangdong Medical College, Dongguan 523808, China

收稿日期:2011-12-05 修回日期:2012-02-15 出版日期:2012-07-01 发布日期:2012-07-01

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

Zhu Kai-Cheng (朱开成), Li Shao-Xin (李绍新), Tang Ying (唐英), Zheng Xiao-Juan (郑小娟), Tang Hui-Qin (唐慧琴 )

a School of Physical Science and Technology, Central South University, Changsha 410083, China;
b Physical Staff Room, Guangdong Medical College, Dongguan 523808, China

Received:2011-12-05 Revised:2012-02-15 Online:2012-07-01 Published:2012-07-01
Contact: Zhu Kai-Cheng E-mail:kczhu058@mail.csu.edu.cn, zhukaicheng@vip.sina.com

摘要/Abstract

摘要： A new kind of quantum non-Gaussian state with vortex structure, termed Bessel-Gaussian vortex state, is constructed, which is an eigenstate of 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 quantized vortex state is always in entanglement. And a scheme for generating such quantized vortex states is proposed.

关键词: Wigner distribution function, quantized vortex state, quantum non-Gaussian state

Abstract: A new kind of quantum non-Gaussian state with vortex structure, termed Bessel-Gaussian vortex state, is constructed, which is an eigenstate of 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 quantized vortex state is always in entanglement. And a scheme for generating such quantized vortex states is proposed.

Key words: Wigner distribution function, quantized vortex state, quantum non-Gaussian state

中图分类号: (Quantum optics)

42.50.-p

03.65.-w (Quantum mechanics)

朱开成, 李绍新, 唐英, 郑小娟, 唐慧琴 . Wigner function and the entanglement of quantized Bessel–Gaussian vortex state of quantized radiation field[J]. 中国物理B, 2012, 21(8): 84204-084204.

Zhu Kai-Cheng (朱开成), Li Shao-Xin (李绍新), Tang Ying (唐英), Zheng Xiao-Juan (郑小娟), Tang Hui-Qin (唐慧琴 ). Wigner function and the entanglement of quantized Bessel–Gaussian vortex state of quantized radiation field[J]. Chin. Phys. B, 2012, 21(8): 84204-084204.

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

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

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