title: Resonant wave formation in Bose-Einstein condensates.
abstract: We investigate analytically the dynamics of a trapped, quasi-one-dimensional Bose-Einstein condensate subject to resonant and nonresonant periodic modulation of the transverse confinement. The dynamics of the condensate is described variationally through a set of coupled ordinary differential equations, and the period of the excited waves is determined analytically using a Mathieu-type analysis. For a modulation frequency equal to that of the radial confinement we show that the predicted period of the resonant wave is in agreement with the existing experimental results. Finally, we present a detailed comparison between the resonant waves and the Faraday waves that emerge outside of resonance.
authors.affiliation: Horia Hulubei National Institute for Physics and Nuclear Engineering, Magurele, Romania. nicolin@theory.nipne.ro
authors.forename: Alexandru I
authors.initials: AI
authors.lastname: Nicolin
mesh_terms: D000465:Algorithms; D015233:Models, Statistical; D016011:Normal Distribution; D009991:Oscillometry; D010825:Physics / Q000379:methods*; D013499:Surface Properties; D013997:Time Factors