Commensurate mixtures of ultra-cold atoms in one dimension

Details Commensurate mixtures of ultra-cold atoms in one dimension Commensurate mixtures of ultra-cold atoms in one dimension

2006-02-27

arxiv.org/abs/cond-mat/0602616v4

Physical Review B, 75, 144510 (2007)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 4 figures, v4: extended version

Scientific paper

We study binary mixtures of ultra-cold atoms, confined to one dimension in an optical lattice, with commensurate densities. Within a Luttinger liquid description, which treats various mixtures on equal footing, we derive a system of renormalization group equations at second order, from which we determine the rich phase diagrams of these mixtures. These phases include charge/spin density wave order, singlet and triplet pairing, polaron pairing, and a supersolid phase. Various methods to detect our results experimentally are discussed.

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