摘要
A new kind of quantum non-Gaussian state with vortex structure termed as a modified Bessel-Gaussian vortex state is constructed, and it is an eigenstate of sum of squared annihilation operator a(2) + b(2). The quantum vortex state exhibits a rich variety of nonclassical signatures and is always entangled. The dependence of its statistical properties on state parameters is analyzed, and the non-Gaussianity is investigated in detail. It is found that, for sufficient small values of alpha, the properties clearly depend on the topological charge index n. Moreover, a scheme for generating such quantized vortex states is proposed.
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