Disorder-induced broadening of quantum momentum distribution
Quantum Physics
2025-12-24 v1 Quantum Gases
Statistical Mechanics
Abstract
We study the long-time behavior of a non-interacting two-dimensional quantum gas in a weak random potential with long-range correlations. Any peaked initial momentum distribution will eventually become isotropic and broaden due to scattering events with the random potential. We derive an expression for the long-time average of the momentum distribution and test it against computer simulations. We also discuss momentum isotropization and spatial diffusion.
Keywords
Cite
@article{arxiv.2512.20170,
title = {Disorder-induced broadening of quantum momentum distribution},
author = {Vili Heinonen and Jani Lukkarinen},
journal= {arXiv preprint arXiv:2512.20170},
year = {2025}
}