Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-09-27
Phys. Rev. A 75, 013617 (2007)
Physics
Condensed Matter
Other Condensed Matter
12 pages, 17 figures
Scientific paper
10.1103/PhysRevA.75.013617
We study the properties of coupled linear and nonlinear resonances. The fundamental phenomena and the level crossing scenarios are introduced for a nonlinear two-level system with one decaying state, describing the dynamics of a Bose-Einstein condensate in a mean-field approximation (Gross-Pitaevskii or nonlinear Schroedinger equation). An important application of the discussed concepts is the dynamics of a condensate in tilted optical lattices. In particular the properties of resonance eigenstates in double-periodic lattices are discussed, in the linear case as well as within mean-field theory. The decay is strongly altered, if an additional period-doubled lattice is introduced. Our analytic study is supported by numerical computations of nonlinear resonance states, and future applications of our findings for experiments with ultracold atoms are discussed.
Graefe Eva-Maria
Korsch Hans Jürgen
Wimberger Sandro
Witthaut Dirk
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