Analytic stochastic treatment of a nonlinear quantum model with negative diffusion

Details Analytic stochastic treatment of a nonlinear quantum model with negative diffusion Analytic stochastic treatment of a nonlinear quantum model with negative diffusion

2001-09-21

arxiv.org/abs/quant-ph/0109110v2

Phys. Rev. A 65, 053810 (2002).

Physics

Quantum Physics

Phys.Rev.A

Scientific paper

10.1103/PhysRevA.65.053810

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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