论文标题

多模Bogoliubov转换和Husimi的Q功能

Multimode Bogoliubov transformation and Husimi's Q-function

论文作者

Huh, Joonsuk

论文摘要

在本文中,我们提出了用于评估高斯/非高斯运算符的基质元素的数值方案,该基础在Fock态下,被确定为多变量Hermite多项式(MHP)。使用积分转换操作员执行多模Bogoliubov转换,Husimi的高斯/非高斯算子的Q-功能很容易被作为MHP的生成函数得出。

In this paper, we present numerical schemes for evaluating the matrix elements of Gaussian/non-Gaussian operators in the Fock state basis, which are identified as multivariate Hermite polynomials (MHPs). Using the integral transformation operator to perform the multimode Bogoliubov transformation, Husimi's Q-functions of Gaussian/non-Gaussian operators are easily derived as the generating functions of MHPs.

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