Phase diagrams of one-dimensional Bose-Fermi mixtures of ultra-cold atoms

Details Phase diagrams of one-dimensional Bose-Fermi mixtures of ultra-cold atoms Phase diagrams of one-dimensional Bose-Fermi mixtures of ultra-cold atoms

2006-02-18

arxiv.org/abs/cond-mat/0602437v3

Phys. Rev. A 75, 013612 (2007)

Physics

Condensed Matter

Other Condensed Matter

16 pages, 8 figures, v3: minor changes

Scientific paper

We study the quantum phase diagrams of Bose-Fermi mixtures of ultracold atoms confined to one dimension in an optical lattice. For systems with incommensurate densities, various quantum phases, e.g. charge/spin density waves, pairing, phase separation, and the Wigner crystal, are found to be dominant in different parameter regimes within a bosonization approach. The structure of the phase diagram leads us to propose that the system is best understood as a Luttinger liquid of polarons (i.e. atoms of one species surrounded by screening clouds of the other species). Special fillings, half-filling for fermions and unit filling for bosons, and the resulting gapped phases are also discussed, as well as the properties of the polarons and the experimental realization of these phases.

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