Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
Abstract
We analyze the stability of nonground nonlinear states of a Bose-Einstein condensate in the mean-field limit in effectively one-dimensional (“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.
- Publication:
-
Physical Review A
- Pub Date:
- July 2008
- DOI:
- 10.1103/PhysRevA.78.013606
- arXiv:
- arXiv:0804.4592
- Bibcode:
- 2008PhRvA..78a3606Z
- Keywords:
-
- 03.75.Lm;
- 05.45.Yv;
- 42.65.Tg;
- Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations;
- Solitons;
- Optical solitons;
- nonlinear guided waves;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- doi:10.1103/PhysRevA.78.013606