Non-positive Wigner Function and Non-Gaussianty Generated by Multiple Creation-then-annihilation Coherent State

作者：Xiao, Jin^*; Xiong, Chao; Yuan, Hong-Chun; Chen, Lei; Zhu, Xi-Fang

来源：International Journal of Theoretical Physics, 2016, 55(3): 1719-1727.

DOI：10.1007/s10773-015-2812-y

• Non-Gaussian operation
• Laguerre-polynomial
• the negativity of Wigner function
• Non-Gaussianity

We investigate the nonclassicality of a kind of quantum state (MPCACS) generated by repeatedly operating creation-then-annihilation (CA) on the coherent state (CS). Its normalization factor is arduously derived in compact expression related to the Laguerre-polynomial. We explore two observable nonclassical properties of MPCACS, such as non-positive Wigner function and non-Guassianty, which exhibit their highly nonclassical behaviors depending on m. Here, we adopt the Hilbert-Schmidt distance to quantify its Non-Gaussian characters.

• 出版日期2016-3
• 单位常州工学院