Anderson localization of a weakly interacting onedimensional Bose gas
(2009) In Physical Review A (Atomic, Molecular and Optical Physics) 80(3). Abstract
 We consider the phase coherent transport of a quasionedimensional beam of BoseEinstein 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 DorokhovMelloPereyraKumar 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 timedependent flows. A FokkerPlanck equation for the probability... (More)
 We consider the phase coherent transport of a quasionedimensional beam of BoseEinstein 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 DorokhovMelloPereyraKumar 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 timedependent flows. A FokkerPlanck 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)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/1489416
 author
 Paul, T.; Albert, M.; Schlagheck, Peter ^{LU} ; Leboeuf, P. and Pavloff, N.
 organization
 publishing date
 2009
 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
 10502947
 DOI
 10.1103/PhysRevA.80.033615
 language
 English
 LU publication?
 yes
 id
 af75652d74a44de680e43c207611f3c2 (old id 1489416)
 date added to LUP
 20091022 11:54:46
 date last changed
 20170101 04:40:00
@article{af75652d74a44de680e43c207611f3c2, abstract = {We consider the phase coherent transport of a quasionedimensional beam of BoseEinstein 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 DorokhovMelloPereyraKumar 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 timedependent flows. A FokkerPlanck 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 = {10502947}, 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 onedimensional Bose gas}, url = {http://dx.doi.org/10.1103/PhysRevA.80.033615}, volume = {80}, year = {2009}, }