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Phys. Rev. A 65, 053810 (2002) [8 pages]

Analytic stochastic treatment of a nonlinear quantum model with negative diffusion

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Roberta Zambrini1 and Stephen M. Barnett2 *
1Instituto Mediterráneo de Estudios Avanzados, IMEDEA (CSIC-UIB), Campus Universitat Illes Balears, E-07071 Palma de Mallorca, Spain
2Department of Physics and Applied Physics, University of Strathclyde, 107 Rottenrow, Glasgow G4 0NG, Scotland

Received 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

* http://www.imedea.uib.es/PhysDept/

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