量子光学学报, 2014, 20 (4): 275, 网络出版: 2014-12-08
计算量子光场态的Wigner函数的新方法
A New Approach for Calculating Wigner Functions of Quantum Optical States
摘要
我们提出计算量子光场态的Wigner函数的新方法,即注意到任何光场态都可以用Fock空间中的粒子数态|m〉展开,所以我们先给出|m〉〈n|算符的Weyl排序形式,再利用Weyl排序算符的性质和算符经典对应的规则,以及相似变换下Weyl排序的算符的序不变性,就可以原则上求出任何光场态的Wigner函数。
Abstract
By deriving the Weyl-ordered form of Fock projector |m〉〈n| and using the property that Weyl ordered operators were ordering-invariant under similar transformations we have found a new approach for calculating Wigner functions of quantum optical states.
余之松, 任桂华, 范洪义. 计算量子光场态的Wigner函数的新方法[J]. 量子光学学报, 2014, 20(4): 275. YU Zhi-song, REN Gui-hua, FAN Hong-yi. A New Approach for Calculating Wigner Functions of Quantum Optical States[J]. Acta Sinica Quantum Optica, 2014, 20(4): 275.
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