Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
arXiv:0804.4592 · doi:10.1103/PhysRevA.78.013606
Abstract
We analyze the stability of non-ground nonlinear states of a Bose-Einstein condensate in the mean field limit in effectively 1D (``cigar-shape'') traps for various types of confining potentials. We find that nonlinear states become, in general, more stable when switching from a harmonic potential to an anharmonic one. We discuss the relation between this fact and the specifics of the harmonic potential which has an equidistant spectrum.
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- Spectral and Dynamical Properties of the Fractional Nonlinear Schrödinger Equation under Harmonic Confinement
- On non-existence of continuous families of stationary nonlinear modes for a class of complex potentials