多模Bogoliubov变换与Husimi Q函数
Multimode Bogoliubov transformation and Husimi's Q-function
摘要:
在本文中,我们提出了数值计划的高斯/非高斯运营商的矩阵元素的Fock状态的基础上,这是确定为多元厄米多项式(MHP)。利用积分变换算子进行多模Bogoliubov变换,导出了高斯/非高斯算子的Husimi Q函数作为MHP的生成函数.
英文摘要:
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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