title: Anderson localization of solitons.
abstract: At low temperature, a quasi-one-dimensional ensemble of atoms with an attractive interaction forms a bright soliton. When exposed to a weak and smooth external potential, the shape of the soliton is hardly modified, but its center-of-mass motion is affected. We show that in a spatially correlated disordered potential, the quantum motion of a bright soliton displays Anderson localization. The localization length can be much larger than the soliton size and could be observed experimentally.
authors.affiliation: Instytut Fizyki imienia Mariana Smoluchowskiego and Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, ulica Reymonta 4, PL-30-059 Kraków, Poland.
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Sacha
authors.forename: Cord A
authors.initials: CA
authors.lastname: Müller
authors.forename: Dominique
authors.initials: D
authors.lastname: Delande
authors.forename: Jakub
authors.initials: J
authors.lastname: Zakrzewski