Work

Lellouch-Lüscher Relation for Ultracold Few-Atom Systems under Confinement

Year: 2026

Type: article

Abstract: We derive an analog of the Lellouch-Lüscher (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 Letter 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 multibody scattering rates.

Source: Physical Review Letters

DOI: 10.1103/pzlp-7k8d

Authors: Jing-Lun Li, Paul S. Julienne, Johannes Hecker Denschlag, José P. D’Incao

Institutions: Institute of Science and Technology Austria, Universität Ulm, National Institute of Standards and Technology, University of Maryland, College Park, University of Massachusetts Boston

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750