Phys. Rev. A 65, 053810 (2002) [8 pages]Analytic stochastic treatment of a nonlinear quantum model with negative diffusionReceived 11 September 2001; published 2 May 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.053810
DOI:
10.1103/PhysRevA.65.053810
PACS:
42.50.Ct, 02.50.Ey, 05.40.Ca
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.