Bosonic Mixtures in one-dimensional optical lattices I.

ORAL

Abstract

We study binary bosonic mixtures of ultra-cold atoms, confined to one dimension in an optical lattice, for various densities. Within a Luttinger liquid description, using renormalization group equations at second order, we determine both ordered and quasi-ordered phases of these mixtures. At commensurate filling, e.g. unit-filling and half-filling, we find different types of localized phases, whereas for densities that are incommensurate to the lattice, but equal for the two species, we find the behavior of a spin gap transition. We discuss the properties of the various phases, and how they could be detected in experiment.

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Authors

  • Ludwig Mathey

    • NIST, Gaithersburg, and JQI, UMD

  • Anzi Hu

    • JQI, UMD, and NIST, Gaithersburg

  • Ippei Danshita

    • JQI, UMD, and Waseda University, Tokyo

  • Carl Williams

    • JQI, UMD, and NIST, Gaithersburg

  • Charles W. Clark

    • NIST, Gaithersburg, and JQI, UMD
    • Joint Quantum Institute, University of Maryland and National Institute of Standards and Technology
    • Joint Quantum Institute, NIST and the University of Maryland
    • Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg MD 20899
    • Joint Quantum Institute, National Institute of Standards and Technology