Uploaded January 2025 | Updated September 2026, 2 weeks ago
Another wave packet propagation animation, where the wave evolves according to the ordinary time-dependent Schrödinger equation by utilizing the Fourier split step method. The real space domain has the dimensions 3840x2160, i.e., 4k, for all four runs, which is quite time consuming to compute. The lattices are modeled using Gaussian shaped bumps. That is, the potential is zero everywhere except at the lattice points (marked as dots as the centers for the Gaussians, for visual purposes) where the potential is positive.
The only interesting part, in my opinion, is the Anderson localization clearly seen in the final random lattice, as expected for such a "lattice".
Music by @gpcbass. The song is called Gitter Cat.
Visuals in Python and FFmpeg.
Another wave packet propagation animation, where the wave evolves according to the ordinary time-dependent Schrödinger equation by utilizing the Fourier split step method. The real space domain has the dimensions 3840x2160, i.e., 4k, for all four runs, which is quite time consuming to compute. The lattices are modeled using Gaussian shaped bumps. That is, the potential is zero everywhere except at the lattice points (marked as dots as the centers for the Gaussians, for visual purposes) where the potential is positive.
The only interesting part, in my opinion, is the Anderson localization clearly seen in the final random lattice, as expected for such a "lattice".
Music by @gpcbass. The song is called Gitter Cat.
Visuals in Python and FFmpeg.
