非马尔可夫随机薛定谔方程的微扰方法
A perturbative approach to non-Markovian stochastic Schrödinger equations
摘要：
在本文中，我们提出了一个微扰过程，允许一个数值求解扩散的非马尔可夫随机薛定谔方程，为广泛的记忆功能。为了说明这一过程的数值计算结果的经典驱动的二能级原子沉浸在一个简单的记忆功能的环境。观察到，随着微扰阶数的增加，集合平均态$ρ_{\rm red}(t)$的数值结果接近通过Imamoglu的扩大系统方法[Phys.Rev.A. 50，3650（1994）]。
英文摘要：
In this paper we present a perturbative procedure that allows one to numerically solve diffusive non-Markovian Stochastic Schrödinger equations, for a wide range of memory functions. To illustrate this procedure numerical results are presented for a classically driven two level atom immersed in a environment with a simple memory function. It is observed that as the order of the perturbation is increased the numerical results for the ensembled average state $ρ_{\rm red}(t)$ approach the exact reduced state found via Imamoglu's enlarged system method [Phys. Rev. A. 50, 3650 (1994)].
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