Hamburg 2009 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 27: Ultra-Cold Atoms, Ions and BEC III (with Q)

A 27.6: Vortrag

Donnerstag, 5. März 2009, 15:45–16:00, VMP 6 HS-C

Oscillation and stability of Dark-Bright solitons in cigar-shaped BECs — •Stephan Middelkamp¹, Panayotis Kevrekidis², and Peter Schmelcher^1,3 — ¹Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg, INF 229, 69120 Heidelberg, Germany — ²Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515, USA — ³Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany

We derive effective 1D vector equations that govern the axial dynamics of mean-field cigar-shaped condensates consisting of atoms in two different internal states with repulsive interactions. These coupled equations take into account the contributions of the transverse degree of freedom accuratley. We apply the equations to predict the oscillation frequency of dark-bright solitons in cigar-shaped traps and investigate their stability using a Bogoliubov-de-Gennes analysis.