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Phys. Rev. A 66, 052105 (2002) [16 pages]

Perturbative approach to non-Markovian stochastic Schrödinger equations

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Jay Gambetta* and H. M. Wiseman
Centre for Quantum Dynamics, School of Science, Griffith University, Brisbane 4111 Australia

Received 3 July 2002; published 18 November 2002

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 an environment with a simple memory function. It is observed that as the order of the perturbation is increased the numerical results for the ensemble average state ρred(t) approach the exact reduced state found via Imamog¯lus enlarged system method [Phys. Rev. A 50, 3650 (1994)].

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.052105
DOI:
10.1103/PhysRevA.66.052105
PACS:
03.65.Yz, 42.50.Lc, 03.65.Ta

*Electronic address: j.gambetta@gu.edu.au

Electronic address: h.wiseman@gu.edu.au