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