Three Resonant Ultra-Cold Bosons: Off-Resonance Effects

TL;DR

This paper models three ultra-cold bosons near resonance using a finite range two-channel approach, providing insights into experimental observations like recombination rates and Efimov resonances, including off-resonant effects.

Contribution

It introduces a minimal finite-range two-channel model that captures off-resonance effects in three-boson systems, enhancing understanding of experimental phenomena.

Findings

Quantifies non-universal effects at finite magnetic field detuning.

Provides interpretation of Sodium three-body recombination experiments.

Explains Efimov resonances observed in Caesium.

Abstract

We solve a finite range two-channel model for three resonant identical bosons. The model provides a minimal description of the various magnetic Feshbach resonances in single species ultra-cold bosonic systems, including off-resonant scattering. We obtain important insights into the interpretation of seminal experiments: the three-body recombination rate measured in Sodium and the Efimov resonances observed in Caesium. This approach quantifies non universal effects appearing for a finite magnetic field detuning.