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

  • William Cairncross
  • Axel PelsterEmail author
Regular Article

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.

Keywords

Cold Matter and Quantum Gas 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikFreie Universität BerlinBerlinGermany
  2. 2.Department of PhysicsQueen’s UniversityKingstonCanada
  3. 3.JILA, NIST and Department of PhysicsUniversity of ColoradoBoulderUSA
  4. 4.Fachbereich Physik und Forschungszentrum OPTIMASTechnische Universität KaiserslauternKaiserslauternGermany
  5. 5.Hanse-WissenschaftskollegDelmenhorstGermany

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