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arXiv quant-ph/9910083quant-ph
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压缩态表象中的边缘分布函数和关联分布函数

Marginal and correlation distribution functions in the squeezed-states representation

Marcelo A. Marchiolli, Salomon S. Mizrahi, Victor V. Dodonov

摘要:

在这里,我们考虑的Husimi函数P的压缩态和计算的边缘和相关分布函数时,P的光子数态的投影。根据压缩参量的值,我们可以证实文献中已经指出的振荡和拍频的发生。我们验证了这些现象完全包含在关联函数中。特别是,我们表明,由于Husimi和它的边际分布函数满足偏微分方程的挤压参数起着时间的作用,解决方案(从初始未压缩的功能得到的压缩功能)可以表示的内核负责的压缩传播。从计算的角度来看,这种方法提供了计算边际分布函数的优势(与P的两个相空间变量之一的直接积分相比),因为可以使用微分方程的对称性。

英文摘要:

Here we consider the Husimi function P for the squeezed states and calculate the marginal and correlation distribution functions when P is projected onto the photon number states. According to the value of the squeezing parameter one verifies the occurence of oscillations and beats as already appointed in the literature. We verify that these phenomena are entirely contained in the correlation function. In particular, we show that since Husimi and its marginal distribution functions satisfy partial differential equations where the squeeze parameter plays the role of time, the solutions (the squeezed functions obtained from initial unsqueezed functions) can be expressed by means of kernels responsible for the propagation of squeezing. From the calculational point of view, this method presents advantages for calculating the marginal distribution functions (compared to a direct integration over one of the two phase-space variables of P) since one can use the symmetry properties of the differential equations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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