Single-atom density of states of an optical lattice

Christopher Hooley, Jorge Quintanilla

Research output: Contribution to journalArticle

54 Citations (Scopus)


We consider a single atom in an optical lattice, subject to a harmonic trapping potential. The problem is treated in the tight-binding approximation, with an extra parameter kappa denoting the strength of the harmonic trap. It is shown that the kappa-->0 limit of this problem is singular, in the sense that the density of states for a very shallow trap (kappa-->0) is qualitatively different from that of a translationally invariant lattice (kappa=0). The physics of this difference is discussed, and densities of states and wave functions are exhibited and explained.
Original languageEnglish
Pages (from-to)080404
Number of pages1
JournalPhysical Review Letters
Issue number8
Early online date1 Aug 2004
Publication statusPublished - 1 Aug 2004


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