SCL BEC codes

Codes used in:

I. Vidanovic, A. Balaz, H. Al-Jibbouri, and A. Pelster
"Nonlinear Bose-Einstein-condensate dynamics induced by a harmonic modulation of the s-wave scattering length"
Phys. Rev. A 84 (2011) 013618
arXiv e-print: 1106.4686

In a recent experiment, a Bose-Einstein condensate of 7Li has been excited by a harmonic modulation of the atomic s-wave scattering length via Feshbach resonance. Combining an analytical perturbative approach with extensive numerical simulations we analyze the emerging nonlinear dynamics of the system on the mean-field Gross-Pitaevskii level at zero temperature. Resulting excitation spectra are presented and  prominent nonlinear features are found: mode coupling, higher harmonics generation and significant shifts in the frequencies of collective modes. We indicate how nonlinear dynamical properties could be made clearly observable in future experiments and compared to our results.


The following Mathematica codes were written for this paper:
  • Frequency shift of the collective oscillation mode for a spherically symmetric BEC:
    Mathematica notebook

  • Frequency shift of the quadrupole mode for an axially symmetric BEC:
    Mathematica notebook and initialization file (created by the initialization notebook)

  • Frequency shift of the breathing mode for an axially symmetric BEC:
    Mathematica notebook and initialization file (created by the initialization notebook)


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