Hamburg 2009 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 47: Quantengase: Gitter und Tunneln I

Q 47.8: Talk

Thursday, March 5, 2009, 15:45–16:00, Audi-A

Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential — Kevin Rapedius and •Hans Jürgen Korsch — FB Physik, TU Kaiserslautern, 67663 Kaiserslautern, Germany

The resonance states and the decay dynamics of the nonlinear Schrödinger (or Gross-Pitaevskii) equation are studied for a simple, however flexible model system, the double delta-shell potential. This model allows analytical solutions and provides insight into the influence of the nonlinearity on the decay dynamics. The bifurcation scenario of the resonance states is discussed, as well as their dynamical stability properties. A discrete approximation using a biorthogonal basis is suggested which allows an accurate description even for only two basis states in terms of a nonlinear, nonhermitian matrix problem.

Journal reference: K. Rapedius, H. J. Korsch, "Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential", Journal of Physics B, in press