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Anderson localization of a weakly interacting one-dimensional Bose gas

Paul, T.; Albert, M.; Schlagheck, Peter LU ; Leboeuf, P. and Pavloff, N. (2009) In Physical Review A (Atomic, Molecular and Optical Physics) 80(3).
Abstract
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... (More)
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. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
80
issue
3
publisher
American Physical Society (APS)
external identifiers
  • wos:000270383900146
  • scopus:70349296898
ISSN
1050-2947
DOI
10.1103/PhysRevA.80.033615
language
English
LU publication?
yes
id
af75652d-74a4-4de6-80e4-3c207611f3c2 (old id 1489416)
date added to LUP
2009-10-22 11:54:46
date last changed
2017-01-01 04:40:00
@article{af75652d-74a4-4de6-80e4-3c207611f3c2,
  abstract     = {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.},
  author       = {Paul, T. and Albert, M. and Schlagheck, Peter and Leboeuf, P. and Pavloff, N.},
  issn         = {1050-2947},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society (APS)},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {Anderson localization of a weakly interacting one-dimensional Bose gas},
  url          = {http://dx.doi.org/10.1103/PhysRevA.80.033615},
  volume       = {80},
  year         = {2009},
}