Localization induced by noise and non linearity

Details Localization induced by noise and non linearity Localization induced by noise and non linearity

1998-07-15

arxiv.org/abs/quant-ph/9807040v1

Physica D141 (2000) 214-220

Physics

Quantum Physics

12 pages, RevTeX, psfig.sty, 2 ps figures, submitted to Phys. Rev. Lett

Scientific paper

10.1016/S0167-2789(00)00036-1

We introduce a model for a two configurations system, and we study the transition from quantum to classical behaviour. We first consider the effect of the interaction with the environment as an external noise and we show that it produces decoherence and suppression of tunnelling. These features are widely accepted as definition of classicality, while we believe that classicality implies that quantum delocalized states spontaneously evolve into localized ones. We than show that this evolution take place only when both noise and non linearity in the equations are present.

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