Lellouch-Lüscher relation for ultracold few-atom systems under confinement
Li J, Julienne PS, Denschlag JH, D’Incao JP. 2026. Lellouch-Lüscher relation for ultracold few-atom systems under confinement. Physical Review Letters. 136(20), 203401.
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Author
Li, JinglunISTA;
Julienne, Paul S.;
Denschlag, Johannes Hecker;
D’Incao, José P.
Corresponding author has ISTA affiliation
Department
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.
Publishing Year
Date Published
2026-05-19
Journal Title
Physical Review Letters
Publisher
American Physical Society
Acknowledgement
This work was supported by the
Baden-Württemberg Stiftung through the Internationale
Spitzenforschung program (BWST, Contract
No. ISF2017-061) and by the German Research
Foundation (DFG, Deutsche Forschungsgemeinschaft,
Contract No. 399903135). The authors acknowledge support
by the state of Baden-Württemberg through bwHPC
and the German Research Foundation (DFG) through
Grant No. INST 40/575-1 FUGG (JUSTUS 2 cluster).
J. H. D and J. P. D. acknowledge funding by Q-DYNAMO
(EU HORIZON-MSCA-2022- SE-01) within Project
No. 101131418. J. P. D. also acknowledges partial support
from the U.S. National Science Foundation (PHY-
2308791/PHYS-2452751) and the Office of Naval
Research (ONR) Grant No. N00014-21-1-2594.
Volume
136
Issue
20
Article Number
203401
ISSN
eISSN
IST-REx-ID
Cite this
Li J, Julienne PS, Denschlag JH, D’Incao JP. Lellouch-Lüscher relation for ultracold few-atom systems under confinement. Physical Review Letters. 2026;136(20). doi:10.1103/pzlp-7k8d
Li, J., Julienne, P. S., Denschlag, J. H., & D’Incao, J. P. (2026). Lellouch-Lüscher relation for ultracold few-atom systems under confinement. Physical Review Letters. American Physical Society. https://doi.org/10.1103/pzlp-7k8d
Li, Jinglun, Paul S. Julienne, Johannes Hecker Denschlag, and José P. D’Incao. “Lellouch-Lüscher Relation for Ultracold Few-Atom Systems under Confinement.” Physical Review Letters. American Physical Society, 2026. https://doi.org/10.1103/pzlp-7k8d.
J. Li, P. S. Julienne, J. H. Denschlag, and J. P. D’Incao, “Lellouch-Lüscher relation for ultracold few-atom systems under confinement,” Physical Review Letters, vol. 136, no. 20. American Physical Society, 2026.
Li J, Julienne PS, Denschlag JH, D’Incao JP. 2026. Lellouch-Lüscher relation for ultracold few-atom systems under confinement. Physical Review Letters. 136(20), 203401.
Li, Jinglun, et al. “Lellouch-Lüscher Relation for Ultracold Few-Atom Systems under Confinement.” Physical Review Letters, vol. 136, no. 20, 203401, American Physical Society, 2026, doi:10.1103/pzlp-7k8d.
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