W. G. Pritchard Lab Seminar: 3:30-4:30 PM, 116 McAllister Building
**Monday March 24, 2003**
Bose-Einstein condensates in periodic potentials
Bernard Deconinck
Department of Mathematics
Colorado State University
Abstract:
Bose-Einstein Condensates (BECs) were predicted in 1924 by Einstein as a
direct consequence of Boson statistics. Experimental verification had to
wait until 1997 (CU, MIT, Rice). The mean-field description of the
dynamics of a BEC is given by the Nonlinear Schrodinger equation with an
external potential. In this talk, I will discuss the influence of nonlocal
perturbations to the mean-field model for the case of a 1-dimensional
optical potential, as generated by a standing light wave. Specifically I
will show that the stability properties of solutions to the resulting
nonlocal equation are not asymptotically equivalent to those of the
corresponding solutions of the local equation.