对相干态在通过参量转换中的演化与量子化光涡态的实现  

Pair coherent state evolutions through parametric frequency conversion and the realization of quantized vortex states

作　　者：朱开成[1] 李绍新[2] 郑小娟[1] 唐慧琴[1] 

机构地区：[1]中南大学物理与电子学院,长沙410083 [2]广东医学院物理教研室,东莞523808

出　　处：《物理学报》2012年第19期201-206,共6页Acta Physica Sinica

摘　　要：本文讨论了光学参量频率转换过程中对相干态的演化问题,获得了对相干态时间演化的解析表达式及在位形空间的波函数,发现通过适当调节系统元件及相互作用时间,对相干态在位形空间中的波包能呈现出量子涡态特性,并且与这样涡态相关的波函数具有修正Bessel-Gaussian形式的结构,即非高斯型波函数.在相干态表象下,这一量子化涡态是两模湮没算符平方和的本征态.这一讨论揭示了产生量子化涡态的另一可实现方案.The pair coherent state evolution during a parametric frequency conversion is analyzed. And the wavefunction of the evolving pair coherent state in configuration space is obtained. It is found that the state may become a modified Bessel-Gaussian vortex state with topological charge index q which is a new non-Gaussian state. In coherent state representation such a modified Bessel-Gaussian vortex state is an eigenstate of sum of squared two-mode annihilation operators a2 ＋ b2. The result obtained in this paper provides a new scheme for generating quantized vortex states in experiment with currently available technology.

关 键 词：对相干态 参量频率转换 量子化光涡态 

分 类 号：O431.2[机械工程—光学工程]