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Quasiperiodic dynamics in bose-einstein condensates in periodic lattices and superlattices

Abstract:

We employ KAM theory to rigorously investigate quasiperiodic dynamics in cigar-shaped Bose-Einstein condensates (BEC) in periodic lattices and superlattices. Toward this end, we apply a coherent structure ansatz to the Gross-Pitaevskii equation to obtain a parametrically forced Duffing equation describing the spatial dynamics of the condensate. For shallow-well, intermediate-well, and deep-well potentials, we find KAM tori and Aubry-Mather sets to prove that one obtains mostly quasiperiodic d...

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Publisher copy:
10.1007/s00332-005-0723-4

Authors


Journal:
Journal of Nonlinear Science
Volume:
17
Issue:
1
Pages:
59-83
Publication date:
2007-02-05
DOI:
EISSN:
1432-1467
ISSN:
0938-8974
URN:
uuid:f9f8678b-68cf-48d4-a2d7-d24bc8303764
Source identifiers:
359701
Local pid:
pubs:359701

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