Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential

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dc.creatorRapedius, K.
dc.creatorKorsch, H. J.
dc.date2008-09-16
dc.date.accessioned2026-07-07T12:45:20Z
dc.date.available2026-07-07T12:45:20Z
dc.descriptionThe 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.
dc.description21 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/0809.2748
dc.identifierhttp://arxiv.org/abs/0809.2748
dc.identifierJ. Phys. B: At. Mol. Opt. Phys. 42 (2009) 044005
dc.identifierdoi:10.1088/0953-4075/42/4/044005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221054
dc.subjectOther Condensed Matter
dc.titleResonance solutions of the nonlinear Schrödinger equation in an open double-well potential
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