Nonlinear Dynamics of Bose-Einstein Condensates with Long-Range Interactions
- Institut fuer Theoretische Physik 1, Universitaet Stuttgart, 70550 Stuttgart (Germany)
The motto of this paper is: Let's face Bose-Einstein condensation through nonlinear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose-Einstein condensates via the time-dependent Gross-Pitaevskii equation into Hamiltonian systems that can be studied using the methods of nonlinear dynamics. We consider in particular cold quantum gases where long-range interactions between the neutral atoms are present, in addition to the conventional short-range contact interaction, viz. gravity-like interactions, and dipole-dipole interactions. The results obtained serve as a useful guide in the search for nonlinear dynamics effects in numerically exact quantum calculations for Bose-Einstein condensates. A main result is the prediction of the existence of stable islands as well as chaotic regions for excited states of dipolar condensates, which could be checked experimentally.
- OSTI ID:
- 21254890
- Journal Information:
- AIP Conference Proceedings, Vol. 1076, Issue 1; Conference: 7. international summer school and conference on 'Let's face chaos through nonlinear dynamics', Maribor (Slovenia), 29 Jun - 13 Jul 2008; Other Information: DOI: 10.1063/1.3046264; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
Similar Records
Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interactions. I. General concept
Nonlinear enhancement of the fractal structure in the escape dynamics of Bose-Einstein condensates