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

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dc.creatorGurarie, V.
dc.creatorRefael, G.
dc.creatorChalker, J. T.
dc.date2008-06-13
dc.date.accessioned2026-07-07T10:17:36Z
dc.date.available2026-07-07T10:17:36Z
dc.descriptionWe 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 $\ell(ω)\sim 1/ω^α$. We show that the well known result $α=2$ applies only for sufficiently weak random potential. As the random potential is increased beyond a certain strength, $α$ starts decreasing. At a critical strength of the potential, when the system of bosons is at the transition from a superfluid to an insulator, $α=1$. 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.
dc.identifierhttps://arxiv.org/abs/0806.2322
dc.identifierhttp://arxiv.org/abs/0806.2322
dc.identifierPhys. Rev. Lett. 101, 170407 (2008)
dc.identifierdoi:10.1103/PhysRevLett.101.170407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173905
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleExcitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
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