Order via Nonlinearity in Randomly Confined Bose Gases

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Author Information under http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir/. International Journal of Bifurcation and Cha

Scientific paper

10.1142/S0218127409024451

A Hartree-Fock mean-field theory of a weakly interacting Bose-gas in a quenched white noise disorder potential is presented. A direct continuous transition from the normal gas to a localized Bose-glass phase is found which has localized short-lived excitations with a gapless density of states and vanishing superfluid density. The critical temperature of this transition is as for an ideal gas undergoing Bose-Einstein condensation. Increasing the particle-number density a first-order transition from the localized state to a superfluid phase perturbed by disorder is found. At intermediate number densities both phases can coexist.

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