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Parametric resonance in Bose-Einstein condensates with periodic modulation of attractive interaction

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Abstract

We demonstrate parametric resonance in Bose-Einstein condensates (BECs) with attractive two-body interaction in a harmonic trap under parametric excitation by periodic modulation of the s-wave scattering length. We obtain nonlinear equations of motion for the widths of the condensate using a Gaussian variational ansatz for the Gross-Pitaevskii condensate wave function. We conduct both linear and nonlinear stability analyses for the equations of motion and find qualitative agreement, thus concluding that the stability of two equilibrium widths of a BEC might be inverted by parametric excitation.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195, Berlin, Germany

    William Cairncross

  2. Department of Physics, Queen’s University, Kingston, Ontario, K7L 3N6, Canada

    William Cairncross

  3. JILA, NIST and Department of Physics, University of Colorado, Boulder, CO, 80309, USA

    William Cairncross

  4. Fachbereich Physik und Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, 67663, Kaiserslautern, Germany

    Axel Pelster

  5. Hanse-Wissenschaftskolleg, Lehmkuhlenbusch 4, 27733, Delmenhorst, Germany

    Axel Pelster

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  1. William Cairncross
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Correspondence to Axel Pelster.

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Cairncross, W., Pelster, A. Parametric resonance in Bose-Einstein condensates with periodic modulation of attractive interaction. Eur. Phys. J. D 68, 106 (2014). https://doi.org/10.1140/epjd/e2014-40835-x

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  • DOI: https://doi.org/10.1140/epjd/e2014-40835-x

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