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Quantum Simulation
Crystalline phase for one-dimensional ultra-cold atomic bosons
arXiv
Authors: Hans Peter Büchler
Year
2010
Paper ID
11148
Status
Preprint
Abstract Read
~2 min
Abstract Words
90
Citations
N/A
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 demonstrate 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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We study cold atomic gases with a contact interaction and confined into one-dimension.
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