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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2012年第19期201-206,共6页
Acta Physica Sinica
关键词
对相干态
参量频率转换
量子化光涡态
pair coherent state, parametric frequency conversion, quantized vortex state
