Hannover 2010 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 55: Poster II
Q 55.4: Poster
Thursday, March 11, 2010, 16:00–19:00, Lichthof
Parametric Excitation of Bose-Einstein Condensate Modes — Hamid Jabber Haziran Al-Jibbouri1 and •Axel Pelster2,3 — 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany — 2Institut für Physik und Astronomie, Karl-Liebknecht-Str. 24 14476 Potsdam, Germany — 3Fachbereich Physik, Universität Duisburg-Essen, Lotharstrasse 1, 47048 Duisburg, Germany
A recent experiment at Rice University studies how the lowest-lying quadrupole mode of a Bose-Einstein condensate of 7Li is excited by modulating periodically the atomic scattering length via a Feshbach resonance [1]. Measuring the amplitude of the quadrupolar oscillation as a function of the excitation frequency Ω reveals both a resonance enhancement at Ω = ωQ and a parametric enhancement at Ω = 2 ωQ. We investigate theoretically how the heights of these resonance peaks depend on the anisotropy of the harmonic trap. To this end we follow Refs. [2,3] and apply techniques of nonlinear dynamics in order to analyze the coupled set of ordinary differential equations for the widths of a Gaussian function which solves variationally the underlying Gross-Pitaevskii theory.
[1] R.G. Hulet, V.S. Bagnato et al. (in preparation)
[2] F.K. Abdullaev, R.M. Galimzyanov, M. Brtka, and R.A. Kraenkel, J. Phys. B 37, 3535 (2004)
[3] N.N. Bogoliubov, Y.A. Mitropolsky, Asymptotic Methods in the Theory of Non-Linear Oscillation (Hindustan P. Corp. Delhi-6, 1961)