A perturbative approach to non-Markovian stochastic Schrödinger equations

Details A perturbative approach to non-Markovian stochastic Schrödinger equations A perturbative approach to non-Markovian stochastic Schrödinger equations

2002-08-28

arxiv.org/abs/quant-ph/0208169v2

Phys. Rev. A 66, 052105 (2002)

Physics

Quantum Physics

17 pages, 4 figures

Scientific paper

10.1103/PhysRevA.66.052105

In this paper we present a perturbative procedure that allows one to numerically solve diffusive non-Markovian Stochastic Schr\"odinger 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 $\rho_{\rm red}(t)$ approach the exact reduced state found via Imamo\=glu's enlarged system method [Phys. Rev. A. 50, 3650 (1994)].

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