Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-5134
Authors: Büchler, Hans Peter
Title: Crystalline phase for one-dimensional ultra-cold atomic bosons
Issue Date: 2011
metadata.ubs.publikation.typ: Zeitschriftenartikel
metadata.ubs.publikation.source: New journal of physics 13 (2011), Nr. 093040. URL http://dx.doi.org./10.1088/1367-2630/13/9/093040
URI: http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-95595
http://elib.uni-stuttgart.de/handle/11682/5151
http://dx.doi.org/10.18419/opus-5134
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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