GPE Ljubljana is a simple Mathematica implementation of the split-step
spectral method for solving the Gross-Pitaevski equation on a
Cartesian discretization grid in 1D, 2D and 3D. Because Mathematica is
using highly efficient FFT and inverse-FFT routines, the code is
equally fast as compiled low-level language implementations, but much
more flexible. The code was written in 2018 for theoretical support to
experimental endeavours in the ultracool cold atoms lab
in Ljubljana. It is inspired by this C++ GPE solver.
Example: Bose jets from a BEC soliton
Density modulation and ejection of Bose jets (fireworks) by modulation of the atom-atom interaction in BEC solitons.
Discussed in this paper:
Emission of correlated jets from a driven matter-wave soliton in a
quasi-one-dimensional geometry
Tadej Mežnaršič, Rok Žitko, Tina Arh, Katja Gosar, Erik Zupanič, and Peter Jeglič
Phys. Rev. A 101, 031601(R) (2020)(PDF)
(PDF)