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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:50 |
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Conference: Bucharest University Faculty of Physics 2012 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Resonant wave formation in Bose-Einstein condensates
Authors:
A.I. NICOLIN (1,2)
Affiliation:
1. Horia Hulubei-National Institute for Physics and Nuclear Engineering, 30 Reactorului, Magurele, 077125, Romania
2. Research Center "Theoretical Physics", Faculty of Physics, University of Bucharest
E-mail
nicolin@nicolin.info
Keywords:
Bose-Einstein condensate, variational treatment, surface waves
Abstract:
We investigate analytically the dynamics of a trapped, quasi-one-dimensional Bose-Einstein condensate subject to resonant and non-resonant 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.
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