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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
PubMed
Summary
This summary is machine-generated.

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.

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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.