双模场真空态与相干态的叠加态的准几率分布函数

Quasi-probability distribution of Superposed State of Two-mode Vacuum State and Two-mode Coherent State

辐射场的非经典态在量子光学中占有十分重要的位置,在实践中有着非常广泛的应用背景,因此如何构造出各种各样的非经典态引起了越来越多的人的极大兴趣和重视。本文中,我们构造了辐射场的一类新的非经典态,称之为双模真空态与相干态的叠加态。我们对该态做了详细的数值计算以及量子统计性质的讨论。我们构造了双模真空态与相干态的叠加态的数学结构,讨论了它的准几率分布函数。数值计算结果表明,双模真空态与相干态的叠加态具有非常显著的非经典性质,因此双模真空态与相干态的叠加态是一类新的非经典光场态。

Non-classical states of extensive application background to construct non-classical states o the radiation field play very important role in quantum optics and have in practice, therefore more and more people are greatly interested in how f various kinds. In this paper, we construct a new class of non-classical state of the radiation field, called superposed state of two-mode vacuum state and two-mode coherent state, we construct the mathematical structure of the superposed state of two-mode vacuum state and two-mode coherent state, discuss its quasi-probability distribution, furthermore the numerical results show that the superposed state of two-mode vacuum state and two-mode coherent state possess very obvious non-classical properties. Therefore it is a class of new non-classical quantum state.