论文标题
某些多模量子主方程的高阶力矩动力学
Higher order moments dynamics for some multimode quantum master equations
论文作者
论文摘要
在量子主方程的情况下，我们使用多模具发生器来为任意高阶创建和歼灭操作员的任意高阶时刻得出海森堡方程，该方程在创建和歼灭操作员方面是二次的，并获得了解决方案。基于它们，我们还为量子主方程的情况得出了相似的方程，该方程在使用二次发电机相对于经典泊松过程的动力学平均发生后发生。这使我们可以证明，在这种情况下，有限数量的线性微分方程的创建和an灭操作员的任意有限顺序矩的动力学完全定义。
We derive Heisenberg equations for arbitrary high order moments of creation and annihilation operators in the case of the quantum master equation with a multimode generator which is quadratic in creation and annihilation operators and obtain their solutions. Based on them we also derive similar equations for the case of the quantum master equation, which occur after averaging the dynamics with a quadratic generator with respect to the classical Poisson process. This allows us to show that dynamics of arbitrary finite-order moments of creation and annihilation operators is fully defined by finite number of linear differential equations in this case.
