Phys. Rev. A 72, 053611 (2005) [9 pages]Bogoliubov excitations in a Kronig-Penney potentialReceived 13 June 2005; published 10 November 2005 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 et al. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.053611
DOI:
10.1103/PhysRevA.72.053611
PACS:
03.75.Lm, 03.75.Kk
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