Photonic crystals for matter waves: Bose-Einstein condensates in optical lattices

Elena A. Ostrovskaya*, Yuri S. Kivshar

*Corresponding author for this work

    Research output: Contribution to journalReview articlepeer-review

    84 Citations (Scopus)

    Abstract

    We overview our recent theoretical studies on nonlinear atom optics of the Bose-Einstein condensates (BECs) loaded into optical lattices. In particular, we describe the band-gap spectrum and nonlinear localization of BECs in one- and two-dimensional optical lattices. We discuss the structure and stability properties of spatially localized states (matter-wave solitons) in 1D lattices, as well as trivial and vortex-like bound states of 2D gap solitons. To highlight similarities between the behavior of coherent light and matter waves in periodic potentials, we draw useful parallels with the physics of coherent light waves in nonlinear photonic crystals and optically-induced photonic lattices.

    Original languageEnglish
    Pages (from-to)19-29
    Number of pages11
    JournalOptics Express
    Volume12
    Issue number1
    DOIs
    Publication statusPublished - Jan 2004

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