Back to Search
Start Over
PATTERN FORMING DYNAMICAL INSTABILITIES OF BOSE–EINSTEIN CONDENSATES.
- Source :
-
Modern Physics Letters B . 3/12/2004, Vol. 18 Issue 5/6, p173-202. 30p. - Publication Year :
- 2004
-
Abstract
- In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose­Einstein condensates in one- and two-dimensional settings. In particular, we illustrate the trapping conditions that allow the reduction of the three-dimensional, mean field description of the condensates (through the Gross­Pitaevskii equation) to such lower dimensional settings, as well as to lattice settings. We then go on to study the modulational instability in one dimension and the snaking/transverse instability in two dimensions as typical examples of long-wavelength perturbations that can destabilize the condensates and lead to the formation of patterns of coherent struc- tures in them. Trains of solitons in one dimension and vortex arrays in two dimensions are prototypical examples of the resulting nonlinear waveforms, upon which we briefly touch at the end of this review. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RESEARCH
*SCIENTIFIC method
*CHEMICAL processes
*CHEMISTRY
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 02179849
- Volume :
- 18
- Issue :
- 5/6
- Database :
- Academic Search Index
- Journal :
- Modern Physics Letters B
- Publication Type :
- Academic Journal
- Accession number :
- 13018142
- Full Text :
- https://doi.org/10.1142/S0217984904006809