{ "id": "0809.2007", "version": "v1", "published": "2008-09-11T14:30:13.000Z", "updated": "2008-09-11T14:30:13.000Z", "title": "Nonlinear Dynamics of Bose-Einstein Condensates with Long-Range Interactions", "authors": [ "G. Wunner", "H. Cartarius", "T. Fabčič", "P. Köberle", "J. Main", "T. Schwidder" ], "comment": "10 pages, 5 figures, Proceedings of the \"7th International Summer School/Conference Llet's Face Chaos Through Nonlinear Dynamics\", CAMTP, University of Maribor, Slovenia, 29 June - 13 July 2008", "journal": "AIP Conf. Proc., Vol. 1076, pp. 282-291 (2008)", "doi": "10.1063/1.3046264", "categories": [ "quant-ph", "cond-mat.quant-gas", "nlin.CD" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2008-09-11T14:30:13.000Z" } ], "analyses": { "subjects": [ "05.45.-a", "03.75.Kk", "03.65.Wj" ], "keywords": [ "bose-einstein condensates", "long-range interactions", "conventional short-range contact interaction", "lets face bose-einstein condensation", "cold quantum gases" ], "tags": [ "conference paper", "journal article" ], "publication": { "publisher": "AIP", "journal": "AIP Conf. Proc." }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008AIPC.1076..282W" } } }