Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 43: Ultra-cold atoms, ions and BEC II

Q 43.7: Talk

Thursday, March 15, 2012, 12:00–12:15, V47.02

Variational treatment of Faraday and resonant waves in Bose-Einstein condensates — •Alexandru Nicolin — Horia Hulubei National Institute for Physics and Nuclear Engineering, 30 Reactorului, Magurele 077125, Romania

The dynamics of Faraday and resonant waves in trapped Bose-Einstein condensates is analyzed by variational means. These waves can be excited by modulating periodically either the strength of the magnetic trap or the atomic scattering length. To study their dynamics, we develop a variational model that describes consistently both the bulk part of an inhomogeneous cigar-shaped condensate and small-amplitude, small-wavelength surface waves. The main ansatz used in the variational treatment is tailored around a set of Gaussian envelopes and we show extensions for the high-density regime using a q-Gaussian function. Finally, we show explicitly that for drives of small amplitude, the two methods of obtaining surface waves are equivalent, and we discuss the existing experimental results.