A perturbative approach to non-Markovian stochastic Schrödinger equations

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 ${\rho }_{\mathrm{red}}(t)$ approach the exact reduced state found via Imamoglu's enlarged system method [Phys. Rev. A. 50, 3650 (1994)].

17 pages, 4 figures

References in corpus (4)

• Non-Markovian stochastic Schrödinger equations: Generalization to real-valued noise using quantum measurement theory
• Dynamical Reduction Models with General Gaussian Noises
• Quantum stochastic approach to the description of quantum measurements
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