Lellouch-L\"uscher relation for ultracold few-atom systems under confinement
Quantum Gases
2026-05-21 v4 Atomic Physics
Abstract
We derive an analog of the Lellouch-L\"uscher (LL) relation for few-body bosonic systems, linking few-body scattering loss rates to the energies and widths of the corresponding harmonically trapped few-body states. Three-body numerical simulations show that the LL relation applies across a broad range of interaction strengths and energies and allows the determination of scattering rates within a single partial wave. Our work establishes a robust theoretical framework for understanding the role of the finite volume effect in few-body observables in optical lattice and tweezer experiments, enabling precise determination of multi-body scattering rates.
Cite
@article{arxiv.2511.11906,
title = {Lellouch-L\"uscher relation for ultracold few-atom systems under confinement},
author = {Jing-Lun Li and Paul S. Julienne and Johannes Hecker Denschlag and José P. D'Incao},
journal= {arXiv preprint arXiv:2511.11906},
year = {2026}
}