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Authors: Büchler, Hans Peter
Title: Crystalline phase for one-dimensional ultra-cold atomic bosons
Issue Date: 2011 Zeitschriftenartikel New journal of physics 13 (2011), Nr. 093040. URL
Abstract: We study cold atomic gases with a contact interaction and confined into one-dimension. Crossing the confinement induced resonance the correlation between the bosons increases, and introduces an effective range for the interaction potential. Using the mapping onto the sine-Gordon model and a Hubbard model in the strongly interacting regime allows us to derive the phase diagram in the presence of an optical lattice. We find the appearance of a phase transition from a Luttinger liquid with algebraic correlations into a crystalline phase with a particle on every second lattice site.
Appears in Collections:08 Fakultät Mathematik und Physik

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