Darmstadt 2008 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 37: Quantengase (Wechselwirkungseffekte I)

Q 37.7: Talk

Thursday, March 13, 2008, 12:30–12:45, 1C

Dynamics of Bose-Einstein condensates with inter-particle interaction — •Tomaž Fabčič, Jörg Main, Holger Cartarius, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart

The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive inter-atomic interaction is investigated. The two stationary solutions created in a tangent bifurcation are shown to be elliptic and hyperbolic, respectively. The stable stationary state is surrounded by solutions periodically oscillating in time whereas wave functions in the unstable region undergo a collapse within finite time. Below the tangent bifurcation no stationary solutions exist, i.e., the condensate is always unstable and collapsing. Computations are presented for atomic 1/r as well as dipolar interactions.