A two-channel R-matrix analysis of magnetic field induced Feshbach resonances
arXiv:cond-mat/0601542 · doi:10.1103/PhysRevA.73.042705
Abstract
A Feshbach resonance arises in cold atom scattering due to the complex interplay between several coupled channels. However, the essential physics of the resonance may be encapsulated in a simplified model consisting of just two coupled channels. In this paper we describe in detail how such an effective Feshbach model can be constructed from knowledge of a few key parameters, characterizing the atomic Born-Oppenheimer potentials and the low energy scattering near the resonance. These parameters may be obtained either from experiment or full coupled channels calculations. Using R-matrix theory we analyze the bound state spectrum and the scattering properties of the two-channel model, and find it to be in good agreement with exact calculations.
Added references. 11 pages, 6 figures. For additional information see http://www.phys.au.dk/quantop/Feshbach/Feshbach.shtm
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- Broad versus narrow Fano-Feshbach resonances in the BCS-BEC crossover with trapped Fermi atom
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- Universal van der Waals Physics for Three Ultracold Atoms
- Two-channel Feshbach physics in a structured continuum
- Feshbach Molecules in a One-dimensional Optical Lattice
- A New Look at the Quantum Mechanics of the Harmonic Oscillator
- Exactly-solvable coupled-channel potential models of atom-atom magnetic Feshbach resonances from supersymmetric quantum mechanics
- Efimovian three-body potential from broad to narrow Feshbach resonances
- A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
- Efimov states in Li-Cs mixtures within a minimal model
- Closed-channel parameters of Feshbach resonances
- Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
- Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions