paper

Scaling Laws Governing the Collapse of a Bose-Einstein Condensate

arXiv:2411.19948 · doi:10.1103/PhysRevA.111.L041301

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 Schrödinger 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.

Main text (6 pages, 4 figures), Supplemental Material (2 pages, 4 figures)

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