Perturbative approach to non-Markovian stochastic Schrödinger equations

Phys. Rev. A 66, 052105 – Published 18 November 2002
Jay Gambetta and H. M. Wiseman

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 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)].

DOI: http://dx.doi.org/10.1103/PhysRevA.66.052105

  • Received 3 July 2002
  • Published 18 November 2002

© 2002 The American Physical Society

Authors & Affiliations

Jay Gambetta* and H. M. Wiseman

  • Centre for Quantum Dynamics, School of Science, Griffith University, Brisbane 4111 Australia

  • *Electronic address: j.gambetta@gu.edu.au
  • Electronic address: h.wiseman@gu.edu.au

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