Squeezed states: Operators for two types of one- and two-mode squeezing transformations.
Squeezed states: Operators for two types of one- and two-mode squeezing transformations.
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DOI：
10.1103/physreva.41.1526
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发表时间：
1990
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影响因子：
--
通讯作者：
Fan
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文献类型：
--
作者：
Fan
我们发现指数算符U=EXP[-i(λ1Q1P2+λ2Q2P1]和W=EXP[-i(λ1Q1Q2-λ2pP1P2)](其中λ1和λ2是实数；Pi和Qi分别是坐标算符和动量算符；i=1，2)分别是产生两种类型的单模和双模组合压缩态的广义压缩算符。给出了U和W的坐标和/或动量表示，并首次根据新发展的有序积内积分技术导出了它们的正规乘积形式，这为构造这些新的压缩态提供了一种直接的方法。分析了这些态的正交位相涨落。
We find that the exponential operators U= exp [-i (λ 1 Q 1 P 2+ λ 2 Q 2 P 1] and W= exp [-i (λ 1 Q 1 Q 2-λ 2 p P 1 P 2)](where λ 1 and λ 2 are real; P i and Q i are coordinate and momentum operators, respectively; and i= 1, 2) are two types of generalized squeezing operators responsible for generating two types of one-and two-mode combination squeezed states, respectively. The coordinate and/or momentum representations of U and W are presented, and their normal product forms are first derived in terms of the newly developed technique of integration within an ordered product, which provides us with a direct approach to constructing these new squeezed states. The fluctuations in quadrature phases for these states are analyzed.