Bogoliubov excitations in a Kronig-Penney potential

Ippei Danshita*, Susumu Kurihara, Shunji Tsuchiya

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    14 Citations (Scopus)


    With use of the Kronig-Penney model, we study the excitation spectrum of a Bose-Einstein condensate in a one-dimensional periodic potential. We solve the Bogoliubov equations analytically and obtain the band structure of the excitation spectrum for arbitrary values of the lattice depth. We find that the excitation spectrum is gapless and linear at low energies, and that it is due to the anomalous tunneling of low-energy excitations, predicted by Kagan

    Original languageEnglish
    Article number053611
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Issue number5
    Publication statusPublished - 2005 Nov

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Physics and Astronomy(all)


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