Bogoliubov Excitations in a Kronig-Penney Potential

Details Bogoliubov Excitations in a Kronig-Penney Potential Bogoliubov Excitations in a Kronig-Penney Potential

2005-06-13

arxiv.org/abs/cond-mat/0506266v3

Phys. Rev. A 72, 053611 (2005)

Physics

Condensed Matter

Other Condensed Matter

9 pages, 8 figures

Scientific paper

10.1103/PhysRevA.72.053611

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 {\it anomalous tunneling} of low energy excitations, predicted by Kagan {\it et al.}.

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