corner
corner

Phys. Rev. Lett. 103, 210402 (2009) [4 pages]

Anderson Localization of Solitons

Download: PDF (211 kB) Buy this article Export: BibTeX or EndNote (RIS)

Krzysztof Sacha1,2, Cord A. Müller2,3, Dominique Delande2, and Jakub Zakrzewski1,2
1Instytut Fizyki imienia Mariana Smoluchowskiego and Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, ulica Reymonta 4, PL-30-059 Kraków, Poland
2Laboratoire Kastler-Brossel, UPMC, ENS, CNRS; 4 Place Jussieu, F-75005 Paris, France
3Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany

Received 2 July 2009; revised 2 November 2009; published 17 November 2009

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.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.210402
DOI:
10.1103/PhysRevLett.103.210402
PACS:
05.30.Jp, 03.75.Lm, 72.15.Rn