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