理论物理通讯：英文版

New Normally Ordered Four-Mode Squeezing Operator for Standard Squeezing of Four-Mode Quadratures

Fan, Hong-Yi, 。 Cao, He-Lin

Published Jan 1, 2007• 0 citations

Abstract

由在操作员的一个订的产品以内的集成的技术的优点，挤压光的操作员以标准方法回答的四模式的照的一个新四模式的压榨操作员被发现。这个操作员不同于挤压操作员的 twotwo 模式的直接产品。它是指数的操作员 V ≡ exp [红外(Q_1P_2 +Q_2P_3 + Q_3P_4 +Q_4P_1 )] 。新四模式的挤压的状态的 Wigner 功能被计算，它相当不同于二个平常的二模式的挤压的状态的直接产品的状态的。

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理论物理通讯：英文版

New Normally Ordered Four-Mode Squeezing Operator for Standard Squeezing of Four-Mode Quadratures

Fan, Hong-Yi, 。 Cao, He-Lin

Published Jan 1, 2007• 0 citations

OpenAlex

Abstract

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We find that the exponential operators U=exp[-i(${\ensuremath{\lambda}}_{1}$

{\mathit{Q}}_{1}

{\mathit{P}}_{2}

+${\ensuremath{\lambda}}^{2}$

{\mathit{Q}}_{2}

{\mathit{P}}_{1}

] and W=exp[-i(${\ensuremath{\lambda}}_{1}$

{\mathit{Q}}_{1}

{\mathit{Q}}_{2}

-${\ensuremath{\lambda}}_{2}$p

{\mathrm{P}}_{1}

{\mathit{P}}_{2}

)] (where ${\ensuremath{\lambda}}_{1}$ and ${\ensuremath{\lambda}}_{2}$ 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.