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Analytic stochastic treatment of a nonlinear quantum model with negative diffusion

Zambrini,Roberta; Barnett, Stephen M.
Physical Review A 65, 053810 (2002)

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.