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
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.