Hooley, C. and Quintanilla, J. (2004) Single-atom density of states of an optical lattice. Physical Review Letters, 93 (8). 080404 .
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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.
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Physical Sciences > Functional Materials Group|
|Depositing User:||J. Quintanilla-Tizon|
|Date Deposited:||22 Nov 2010 21:05|
|Last Modified:||06 Sep 2011 05:42|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/26063 (The current URI for this page, for reference purposes)|
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