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Updated: Jun 8, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
Published on: March 30, 2017
Lellouch-Lüscher Relation for Ultracold Few-Atom Systems under Confinement
Jing-Lun Li1,2, Paul S Julienne3, Johannes Hecker Denschlag1
1Universität Ulm, Institut für Quantenmaterie and Center for Integrated Quantum Science and Technology IQ, ST, 89069 Ulm, Germany.
None:
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.
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