Scaling Laws Governing the Collapse of a Bose-Einstein Condensate
Quantum Gases
2025-04-09 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Plasma Physics
Quantum Physics
Abstract
We study the collapse of an attractive Bose-Einstein condensate, where an unstable system evolves towards a singularity, by numerically solving the underlying cubic-quintic nonlinear Schr\"odinger equation. We find good agreement between our simulations and the atom-loss measurements with a K condensate. Our simulations reveal an interplay of weak collapse and the propensity of the system to form a hotspot, and we uncover new scaling laws that govern this behavior. We also identify promising signatures of the theoretically predicted, but so far experimentally elusive, elastic three-body interactions.
Keywords
Cite
@article{arxiv.2411.19948,
title = {Scaling Laws Governing the Collapse of a Bose-Einstein Condensate},
author = {Sebastian J. Morris and Christopher J. Ho and Simon M. Fischer and Jiří Etrych and Gevorg Martirosyan and Zoran Hadzibabic and Christoph Eigen},
journal= {arXiv preprint arXiv:2411.19948},
year = {2025}
}
Comments
Main text (6 pages, 4 figures), Supplemental Material (2 pages, 4 figures)