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The dynamics of a Bose-Einstein condensate are examined numerically in thepresence of a one-dimensional bichromatic optical lattice with externalharmonic confinement. The condensate is excited by a focusing red laser. Forthis purpose, the time-dependent Gross Pitaevskii equation is solved using theCrank Nicolson method in real time. Two realizations of the optical lattice areconsidered, one with a rational and the other with an irrational ratio of thetwo constituting wave lengths. For a weak bichromatic optical lattice, thelong-time averaged physical observables of the condensate respond only veryweakly (or not at all) to changes in the secondary optical lattice depth.However, for a much larger strength of the latter optical lattice, the responseis stronger. It is found that qualitatively there is no difference between thedynamics of the condensate resulting from the use of a rational or irrationalratio of the optical lattice wavelengths since the external harmonic trapwashes it out. It is further found that in the presence of an external harmonictrap, the bichromatic optical lattice acts in favor of superflow.

Long-time averaged dynamics of a Bose-Einstein condensate in a bichromatic optical lattice with external harmonic confinement