Quasi-probability distributions and decoherence of Hermite-excited squeezed thermal states
Quasi-probability distributions and decoherence of Hermite-excited squeezed thermal states
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DOI：
10.1364/josab.31.002163
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发表时间：
2014-09
影响因子：
1.9
通讯作者：
Zhen Wang;Heng-Mei Li;Hongchun Yuan
中科院分区：
文献类型：
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作者：
Zhen Wang;Heng-Mei Li;Hongchun Yuan
将算符厄米多项式应用于压缩热态，从理论上提出了厄米激发压缩热态。从压缩热态的正规有序密度算符和算符厄米多项式出发，得到了与勒让德多项式相关的正规化因子。几个相空间分布函数，即，解析地导出了Q函数、P函数、Wigner函数（WF）和R函数。而非高斯性和非经典性主要体现在非高斯WF的负性和非经典深度的存在。此外，通过推导出激光通道中HESTS的正常有序密度算符和WF，研究和讨论了退相干效应。最后，计算了测量非高斯性的量，进一步定量地测量结果态的非高斯性。
We theoretically put forward the Hermite-excited squeezed thermal states (HESTS) by applying operator Hermite polynomials on squeezed thermal states. Starting from the normally ordered density operator of squeezed thermal states and operator Hermite polynomials, the normalization factor is obtained, which is related to the Legendre polynomials. Several phase-space distribution functions, i.e., the Q function, P function, Wigner function (WF), and R function, are analytically derived. And the non-Gaussianity and nonclassicality are mainly reflected by the negativity of non-Gaussian WF and the existence of nonclassical depth. In addition, by deriving the normally ordered density operator and WF of HESTS in the laser channel, the decoherence effect is studied and discussed. Finally, the quantity in measuring non-Gaussianity is calculated to further quantitatively measure the non-Gaussianity of the resulting states.