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A perturbative approach to non-Markovian stochastic Schrödinger equations

Jay Gambetta·H. M. Wiseman
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Abstract

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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Jay Gambetta, H. M. Wiseman. 2007-04-14. A perturbative approach to non-Markovian stochastic Schrödinger equations. https://doi.org/10.1103/physreva.66.052105

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