有限维奇偶对相干态的非经典性质  

Some nonclassical properties of a finite dimensional even and odd pair coherent state

作　　者：孟祥国[1] 王继锁[1] 

机构地区：[1]聊城大学物理系,聊城252059

出　　处：《物理学报》2007年第8期4578-4584,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10574060);山东省自然科学基金(批准号:Y2004A09)资助的课题.~~

摘　　要：构造出了奇偶对相干态的指数形式,并把奇偶对相干态推广至有限维Hilbert空间,获得了有限维奇偶对相干态,然后讨论了它们的正交归一完备性、反聚束效应和相位概率分布.结果表明,在此空间中奇偶对相干态具有归一完备性,但不具有正交性.借助于数值计算发现,无论q取何值,在参数ξ的不同取值范围内,对于5维Hilbert空间中奇偶对相干态在模1和模2两个方向上均可呈现反聚束效应,并且此双模光场的光子均是相关的.而在7维Hilbert空间中,奇偶对相干态相位概率分布的不同,峰的结构展现出显著不同的量子干涉特性.The exponential form of even and odd pair coherent state （EOPCS） is constructed. The EOPCS is generalized to a finite dimensional EOPCS in the Hilbert space, and then its orthonormalized property, completeness relations and some noncalssical properties are discussed. It is shown that the finite dimensional EOPCS has normalized and completeness relations, but not orthogonal relations. By virtue of the numerical computation method, we find that, for any value of q, in different ranges of the parameter │ξ│ the 5-dimensional EOPCS for the modes 1 and 2 exhibit anti-bunching effect and the photons between the two modes are always correlated. The different peak structures of the phase probability distributions for the 7-dimensional EOPCS show remarkably different quantum interference properties.

关 键 词：有限维奇偶对相干态 反聚束效应 相位概率分布 

分 类 号：O431.2[机械工程—光学工程]