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Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder

Localization of Bogoliubov quasiparticles in interacting Bose gases with correlated disorder

We study the Anderson localization of Bogoliubov quasiparticles (elementary many-body excitations) in a weakly interacting Bose gas of chemical potential $\ensuremath{\mu}$ subjected to a disordered potential $V$. We introduce a general mapping (valid for weak inhomogeneous potentials in any dimension) of the Bogoliubov--de Gennes equations onto a single-particle Schr\"odinger-like equation …