Physics – Quantum Physics
Scientific paper
2008-09-11
AIP Conf. Proc., Vol. 1076, pp. 282-291 (2008)
Physics
Quantum Physics
10 pages, 5 figures, Proceedings of the "7th International Summer School/Conference Llet's Face Chaos Through Nonlinear Dynami
Scientific paper
10.1063/1.3046264
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.
Cartarius Holger
Fabčič Tomaž
Köberle Patrick
Main Joerg
Schwidder T.
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