Non-Gaussianity dynamics of two-mode squeezed number states subject to different types of noise based on cumulant theory  

作　　者：Shaohua Xiang Xixiang Zhu Kehui Song 向少华;朱喜香;宋克慧(School of Mechanical,Optoelectronics and Physics,Huaihua University)

机构地区：School of Mechanical,Optoelectronics and Physics,Huaihua University,Huaihua 418008,China

出　　处：《Chinese Physics B》2018年第10期181-189,共9页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Hunan Province,China(Grant No.2017JJ2214);the Key Project Foundation of the Education Department of Hunan Province,China(Grant No.14A114

摘　　要：We provide a measure to characterize the non-Gaussianity of phase-space function of bosonic quantum states based on the cumulant theory. We study the non-Gaussianity dynamics of two-mode squeezed number states by analyzing the phase-averaged kurtosis for two different models of decoherence： amplitude damping model and phase damping model.For the amplitude damping model, the non-Gaussianity is very fragile and completely vanishes at a finite time. For the phase damping model, such states exhibit rich non-Gaussian characters. In particular, we obtain a transition time that such states can transform from sub-Gaussianity into super-Gaussianity during the evolution. Finally, we compare our measure with the existing measures of non-Gaussianity under the independent dephasing environment.We provide a measure to characterize the non-Gaussianity of phase-space function of bosonic quantum states based on the cumulant theory. We study the non-Gaussianity dynamics of two-mode squeezed number states by analyzing the phase-averaged kurtosis for two different models of decoherence： amplitude damping model and phase damping model.For the amplitude damping model, the non-Gaussianity is very fragile and completely vanishes at a finite time. For the phase damping model, such states exhibit rich non-Gaussian characters. In particular, we obtain a transition time that such states can transform from sub-Gaussianity into super-Gaussianity during the evolution. Finally, we compare our measure with the existing measures of non-Gaussianity under the independent dephasing environment.

关 键 词：NON-GAUSSIANITY CUMULANTS squeezed number states DECOHERENCE 

分 类 号：O413[理学—理论物理]