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Excitations of One-Dimensional Bose-Einstein Condensates in a Random Potential

Gurarie, V. and Refael, G. and Chalker, J. T. (2008) Excitations of One-Dimensional Bose-Einstein Condensates in a Random Potential. Physical Review Letters, 101 (17). Art. No. 170407. ISSN 0031-9007. doi:10.1103/PhysRevLett.101.170407.

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We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed under such conditions are localized, with the localization length diverging at low frequency as [script-l](omega)~1/omegaalpha. We show that the well-known result alpha=2 applies only for sufficiently weak random potential. As the random potential is increased beyond a certain strength, alpha starts decreasing. At a critical strength of the potential, when the system of bosons is at the transition from a superfluid to an insulator, alpha=1. This result is relevant for understanding the behavior of the atomic Bose-Einstein condensates in the presence of random potential, and of the disordered Josephson junction arrays.

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Additional Information:© 2008 The American Physical Society. (Received 30 June 2008; published 24 October 2008) We acknowledge support from the NSF Grant No. DMR-0449521, the NIST-CU seed grant (V.G.), and the EPSRC Grant No. EP/D050952/1 (J.T.C.).
Funding AgencyGrant Number
National Science FoundationDMR-0449521
National Institute of Standards and TechnologyUNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC) (UK)EP/D050952/1
Issue or Number:17
Record Number:CaltechAUTHORS:GURprl08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12135
Deposited By: Archive Administrator
Deposited On:24 Oct 2008 22:31
Last Modified:08 Nov 2021 22:25

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