Fresnel-Transform's Quantum Correspondence and Quantum Optical ABCD Law
Fresnel-Transform's Quantum Correspondence and Quantum Optical ABCD Law
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DOI：
10.1088/0256-307x/24/8/023
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发表时间：
2007-05
影响因子：
3.5
通讯作者：
Fan Hongyi;H. Liyun
中科院分区：
文献类型：
--
作者：
Fan Hongyi;H. Liyun
与菲涅尔变换相对应，量子光学理论中存在一个酉算子，称为菲涅尔算子（FO）。我们证明了 FO 的乘法规则自然地导出了量子光学 ABCD 定律。作为射线传递 ABCD 矩阵映射的规范算子方法通过相干状态表示和算子有序积内的积分技术通过 FO 的正常有序展开来明确地示出。我们证明阻尼振荡器的时间演化体现了量子光学 ABCD 定律。
Corresponding to the Fresnel transform there exists a unitary operator in quantum optics theory, which could be known the Fresnel operator (FO). We show that the multiplication rule of the FO naturally leads to the quantum optical ABCD law. The canonical operator methods as mapping of ray-transfer ABCD matrix is explicitly shown by the normally ordered expansion of the FO through the coherent state representation and the technique of integration within an ordered product of operators. We show that time evolution of the damping oscillator embodies the quantum optical ABCD law.