Reference : Anderson localization of a weakly interacting one-dimensional Bose gas
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/75073
Anderson localization of a weakly interacting one-dimensional Bose gas
English
Paul, T. [> > > >]
Albert, M. [ > > ]
Schlagheck, Peter mailto [Université de Liège - ULg > Département de physique > Physique quantique statistique >]
Leboeuf, P. [> > > >]
Pavloff, N. [> > > >]
2009
Physical Review. A
American Physical Society
80
3
033615
Yes
International
1050-2947
1094-1622
College Park
MD
[en] We consider the phase coherent transport of a quasi-one-dimensional beam of Bose-Einstein condensed particles through a disordered potential of length L. Among the possible different types of flow we identified [T. Paul, P. Schlagheck, P. Leboeuf, and N. Pavloff, Phys. Rev. Lett. 98, 210602 (2007)], we focus here on the supersonic stationary regime where Anderson localization exists. We generalize the diffusion formalism of Dorokhov-Mello-Pereyra-Kumar to include interaction effects. It is shown that interactions modify the localization length and also introduce a length scale L* for the disordered region, above which most of the realizations of the random potential lead to time-dependent flows. A Fokker-Planck equation for the probability density of the transmission coefficient that takes this effect into account is introduced and solved. The theoretical predictions are verified numerically for different types of disordered potentials. Experimental scenarios for observing our predictions are discussed.
http://hdl.handle.net/2268/75073
10.1103/PhysRevA.80.033615

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