Analytic stochastic treatment of a nonlinear quantum model with negative diffusion

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.

Phys.Rev.A

References in corpus (1)

• The N boson time dependent problem: an exact approach with stochastic wave functions

Cited by in corpus (1)

• Quantum properties of transverse pattern formation in second-harmonic generation