Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

F. Kh Abdullaev, J. C. Bronski, R. M. Galimzyanov

Research output: Contribution to journalArticlepeer-review

Abstract

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODEs for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.

Original languageEnglish (US)
Pages (from-to)319-332
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume184
Issue number1-4
DOIs
StatePublished - Oct 1 2003

Keywords

  • Bose-Einstein condensate
  • Gross-Pitaevski equation
  • Random perturbation
  • Resonance
  • Scattering length
  • Trap potential

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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