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Updated: Jul 4, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Analytical solution of the bosonic three-body problem.
Alexander O Gogolin1, Christophe Mora, Reinhold Egger
1Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom.
This study analyzes three identical bosons in free space, revealing a universal hierarchy of bound states known as Efimov trimers. Researchers developed an analytical solution to precisely calculate trimer properties and recombination rates.
Area of Science:
- Quantum mechanics
- Atomic physics
- Few-body systems
Background:
- The Efimov effect describes a universal set of three-boson bound states (trimers) emerging near a Feshbach resonance.
- Previous studies often relied on numerical methods to investigate these phenomena.
Purpose of the Study:
- To provide an exact analytical solution for the properties of three identical bosons in free space.
- To accurately determine Efimov trimer binding energies and related parameters.
- To investigate the recombination rate in such systems.
Main Methods:
- Modeling a narrow Feshbach resonance using a two-channel description.
- Mapping the three-body scattering amplitude integral equation to a single-particle equation.
- Obtaining an analytical solution with exponential accuracy.
Main Results:
- Exact results for the binding energies of Efimov trimers.
- Precise calculation of the three-body parameter.
- Determination of the threshold to the three-atom continuum.
- Accurate prediction of the recombination rate.
Conclusions:
- The analytical approach offers a highly accurate and efficient method for studying three-boson systems.
- The findings provide benchmark results for understanding universal few-body physics.
- This work advances the theoretical understanding of Efimov trimers and related phenomena.
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