Perturbative approach to non-Markovian stochastic Schrodinger equations

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Author(s)
Gambetta, J
Wiseman, HM
Year published
2002
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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 ρred ( t) approach the exact reduced state found via Imamo¯glu’s enlarged system method.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 ρred ( t) approach the exact reduced state found via Imamo¯glu’s enlarged system method.
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Journal Title
Physical Review A
Volume
66
Copyright Statement
© 2002 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Mathematical Sciences
Physical Sciences
Chemical Sciences