Büchler, Hans Peter2014-10-082016-03-312014-10-082016-03-312011415198186http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-95595http://elib.uni-stuttgart.de/handle/11682/5151http://dx.doi.org/10.18419/opus-5134We 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.eninfo:eu-repo/semantics/openAccessFestkörperphysik530article