Nonclassical properties of induced states from single-mode squeezed vacuum state related with Hermite excited elementary superposition operation
Nonclassical properties of induced states from single-mode squeezed vacuum state related with Hermite excited elementary superposition operation
复制标题
与埃尔米特激发基元叠加运算相关的单模压缩真空态诱导态的非经典性质
DOI：
10.1140/epjp/i2019-12635-9
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发表时间：
2019
影响因子：
3.4
通讯作者：
Xiang-guo Meng
中科院分区：
文献类型：
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作者：
Xue-xiang Xu;Jian-ming Wang;Hong-chun Yuan;Ye-jun Xu;Xiang-guo Meng
基于单模压缩真空态（SVS）和厄米激发的基本叠加算符，我们引入了两个新的量子态，厄米激发压缩真空态（HSVS）和厄米激发正交压缩真空态（HOSVS）。HSVS是通过对SVS应用该算子而得到的，HOSVS是通过对SVS应用正交化器而得到的，其中HSVS对于奇数是HOSVS。我们研究和比较了SVS、HSVS和HOSVS的数学和非经典性质，包括光子数分布、Mandel的Q参数、正交压缩和Wigner函数。数值结果表明：（1）对于偶（奇）m，HSVS和HOSVS只有偶（奇）光子分量;（2）在低压缩参数区，HSVS和HOSVS表现出亚泊松统计，在大压缩参数区表现出压缩效应;（3）压缩与亚泊松不相容;（4）在相空间中，HSVS和HOSVS的Wigner函数为负值.
Based on single-mode squeezed vacuum state (SVS) and Hermite-excited elementary superposition operator, we induce two new quantum states,i.e., Hermite-excited squeezed vacuum state (HSVS) and Hermite-excite-orthogonalized squeezed vacuum state (HOSVS). HSVS is obtained by applying the operator on SVS and HOSVS is obtained by applying the orthogonalizer on SVS, where HSVS is just HOSVS for oddm. We study and compare mathematical and nonclassical properties for SVS, HSVS and HOSVS, including photon number distribution, Mandel’sQparameter, quadrature squeezing, and Wigner function. Numerical results show that i) HSVS and HOSVS have only even (odd) photon components for even (odd)m; ii) HSVS and HOSVS can exhibit sub-Poissonian statistics in low-squeezing parameter regime and squeezing effect in large-squeezing parameter regime; iii) moreover, squeezing is always incompatible with sub-Poissonianity; iv) Wigner functions for HSVS and HOSVS have negative values in phase space.