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Updated: Jun 8, 2026
11:21
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.
Physical Review Letters
|June 7, 2026
Summary
We developed a new method linking few-body scattering loss rates to trapped state properties. This allows precise determination of multibody scattering rates in experiments, advancing few-body physics research.
Area of Science:
- Quantum physics
- Few-body systems
- Ultracold atomic gases
Background:
- Understanding few-body interactions is crucial in quantum systems.
- Scattering loss rates are important observables in experiments.
- Finite-volume effects in quantum systems are complex.
Purpose of the Study:
- To derive an analog of the Lellouch-Lüscher relation for few-body bosonic systems.
- To connect few-body scattering loss rates with trapped state properties.
- To establish a theoretical framework for finite-volume effects in few-body observables.
Main Methods:
- Derivation of the Lellouch-Lüscher analog.
- Three-body numerical simulations.
- Analysis of scattering loss rates, energies, and widths.
Main Results:
- The Lellouch-Lüscher relation analog is applicable to few-body bosonic systems.
- The relation holds across a wide range of interaction strengths and energies.
- Scattering rates can be determined within a single partial wave.
Conclusions:
- A robust theoretical framework for finite-volume effects in few-body systems has been established.
- This work enables precise determination of multibody scattering rates.
- The findings are relevant for optical lattice and tweezer experiments.
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