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Wigner function and the entanglement of a quantized Bessel-Gaussian vortex state of a quantized radiation field
Authors:Zhu Kai-Cheng a  Li Shao-Xin b  Tang Ying a  Zheng Xiao-Juan a  and Tang Hui-Qin
Affiliation:[1]School of Physical Science and Technology, Central South University, Changsha 410083, China [2]Physical Staff Room, Guangdong Medical College, Dongguan 523808, China
Abstract: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.
Keywords:Wigner distribution function  quantized vortex state  quantum non-Gaussian state
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