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Analytic stochastic treatment of a nonlinear quantum model with negative diffusion

Quantum Physics 2009-11-07 v2

Abstract

We apply a proposal of Yuen and Tombesi, for treating stochastic problems with negative diffusion, to the analytically soluble problem of the single-mode anharmonic oscillator. We find that the associated stochastic realizations include divergent trajectories. It is possible, however, to solve the stochastic problem exactly, but the averaging must be performed with great care.

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Cite

@article{arxiv.quant-ph/0109110,
  title  = {Analytic stochastic treatment of a nonlinear quantum model with negative diffusion},
  author = {Roberta Zambrini and Stephen M. Barnett},
  journal= {arXiv preprint arXiv:quant-ph/0109110},
  year   = {2009}
}

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