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Spatio-Temporal Chaos in Time Evolution of BEC with Attractive Two-Body Interactions

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Nonlinearity and Disorder: Theory and Applications

Part of the book series: NATO Science Series ((NAII,volume 45))

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Abstract

Bose-Einstein condensate (BEC) has been described to collapse in case of attractive interactions. We perform a careful analysis of this system using a generalization of the Gross-Pitaevskii equation. The system is investigated considering several sets of values for the three body dissipation and linear feeding parameters. We verified that, for a certain range of the space of parameters, the equation presents unstable solutions that can lead to a chaotic behavior, since the equation presents an exponential increase of the trajectory separation, in similar way found earlier for the complex Landau-Ginzburg equation.

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Author information

Authors and Affiliations

  1. Instituto de Física Teórica, Universidade Estadual Paulista, 01405-900, São Paulo, Brazil

    A. Gammal, V. S. Filho & L. Tomio

  2. Departamento de Física, Instituto Tecnológico da Aeronáutica, CTA, 12228-900, São José dos Campos, Brazil

    T. Frederico

Authors
  1. A. Gammal
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  2. V. S. Filho
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  3. L. Tomio
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  4. T. Frederico
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Editor information

Editors and Affiliations

  1. Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan

    Fatkhulla Abdullaev

  2. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Lyngby, Denmark

    Ole Bang  & Mads Peter Sørensen  & 

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© 2001 Springer Science+Business Media Dordrecht

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Gammal, A., Filho, V.S., Tomio, L., Frederico, T. (2001). Spatio-Temporal Chaos in Time Evolution of BEC with Attractive Two-Body Interactions. In: Abdullaev, F., Bang, O., Sørensen, M.P. (eds) Nonlinearity and Disorder: Theory and Applications. NATO Science Series, vol 45. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0542-5_6

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  • DOI: https://doi.org/10.1007/978-94-010-0542-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0192-5

  • Online ISBN: 978-94-010-0542-5

  • eBook Packages: Springer Book Archive

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