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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
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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．Abstract: 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.
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