论文标题
正常产品形式的高斯动力学方程
Gaussian dynamics equation in normal product form
论文作者
论文摘要
在本文中，我们讨论了多模高斯状态的密度运算符的正常产物形式，并获得正常产物形式的高斯密度运算符的核矩阵之间的相关方程，并以标准二次形式的核矩阵G。此外，我们探索R的时间演化机理，并在正常产物R = I（RJH-HJR）下获得高斯动力学方程。我们的工作致力于寻找高斯动力学的另一种机制。通过探索在连贯的状态表示下对正常有序密度矩阵的描述，我们发现我们的机制是可行且易于操作的。
In this paper, we discuss the normal product form of the density operator of multimode Gaussian states, and obtain the correlation equation between the kernel matrix R of the Gaussian density operator in the normal product form and its kernel matrix G in the standard quadratic form. Further, we explore the time evolution mechanism of R and obtain the Gaussian dynamical equation under the normal product R=i(RJH-HJR). Our work is devoted to searching for another mechanism for Gaussian dynamics. By exploring the description of the normal ordered density matrix under the coherent state representation, we find that our mechanism is feasible and easy to operate.
