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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

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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.

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We study cold atomic gases with a contact interaction and confined into one-dimension.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1009.4712 [2] arXiv https://arxiv.org/abs/1009.4712 [3] Publisher https://arxiv.org/abs/1009.4712

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