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

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

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.

Keywords: Wigner distribution function quantized vortex state quantum non-Gaussian state

Received: 05 December 2011
Revised: 15 February 2012
Accepted manuscript online:

PACS:	42.50.-p	(Quantum optics)
	03.65.-w	(Quantum mechanics)

Corresponding Authors: Zhu Kai-Cheng
E-mail: kczhu058@mail.csu.edu.cn, zhukaicheng@vip.sina.com

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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 2012 Chin. Phys. B 21 084204

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

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