量子光学学报, 2013, 19 (4): 296, 网络出版: 2013-12-04
逆坐标算符激发相干态的非经典性
Nonclassical Property of Inverse Coordinate Operator Excited Coherent States
逆坐标算符激发相干态 Wigner函数 非经典性 inverse coordinate operator excited coherent state Wigner function nonclassical property
摘要
文中引入一类新的量子态-逆坐标算符激发相干态。利用有序算符内积分技术,我们将逆坐标算符激发相干态转换成是厄米多项式激发相干态的叠加态,导出了逆坐标算符的正规乘积,以及该激发相干态的归一化系数;基于Wigner算符的相干态表示,进一步导出了该激发相干态的Wigner函数的解析表达式。特别是利用Wigner函数的负部特征,讨论了该量子态的非经典性。
Abstract
In this paper, we introduce a new nonclassical quantum state, an inverse coordinate operator excited coherent state. By using the IWOP technique, the normally ordering form of inverse coordinate operator and the normalization factor are derived. It is shown that the normally ordering form is related to Hermit polynomial. On the basis of the coherent state representation of the Wigner operator, the Wigner function is also calculated, whose negative property is used to discuss the nonclassical property of the nonclassical quantum state.
余之松, 任桂华, 范洪义. 逆坐标算符激发相干态的非经典性[J]. 量子光学学报, 2013, 19(4): 296. YU Zhi-song, REN Gui-hua, FAN Hong-yi. Nonclassical Property of Inverse Coordinate Operator Excited Coherent States[J]. Acta Sinica Quantum Optica, 2013, 19(4): 296.