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.
arXiv commentAdded references. 11 pages, 6 figures. For additional information see http://www.phys.au.dk/quantop/Feshbach/Feshbach.shtm
References in corpus (16)
- Observation of resonance condensation of fermionic atom pairs
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Precise determination of Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
- Resonance Superfluidity: Renormalization of Resonance Scattering Theory
- Adiabatic association of ultracold molecules via magnetic field tunable interactions
- Broad versus narrow Fano-Feshbach resonances in the BCS-BEC crossover with trapped Fermi atom
- Conventional character of the BCS-BEC cross-over in ultra-cold gases of 40K
- The nature of Feshbach molecules in Bose-Einstein condensates
- Production of three-body Efimov molecules in an optical lattice
- Resonance effects on the crossover of bosonic to fermionic superfluidity
- Making Cold Molecules by Time-dependent Feshbach Resonances
- Heating and atom loss during upward ramps of Feshbach resonance levels in Bose-Einstein condensates
Cited by in corpus (27)
- Many-Body Physics with Ultracold Gases
- Feshbach Resonances in Ultracold Gases
- Production of cold molecules via magnetically tunable Feshbach resonances
- Thermodynamics of the BCS-BEC crossover
- Ultracold bosons with short-range interaction in regular optical lattices
- Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atoms
- Universal van der Waals Physics for Three Ultracold Atoms
- Ultracold molecules from ultracold atoms: a case study with the KRb molecule
- Two-channel Feshbach physics in a structured continuum
- Analytical model of overlapping Feshbach resonances
- Feshbach resonances in ultracold ^{6,7}Li + ^{23}Na atomic mixtures
- Feshbach Molecules in a One-dimensional Optical Lattice
- Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
- 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
- Bogoliubov theory of Feshbach molecules in the BEC-BCS crossover
- Efimovian three-body potential from broad to narrow Feshbach resonances
- Three-body recombination rates near a Feshbach resonance within a two-channel contact interaction model
- Metastable states when the Fermi Golden Rule constant vanishes
- A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
- Width and shift of Fano-Feshbach resonances for van der Waals interactions
- Shadow poles in a coupled-channel problem calculated with Berggren basis
- Efimov states in Li-Cs mixtures within a minimal model
- Modeling atom-atom interactions at low energy by Jost-Kohn potentials
- 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