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Few-body ultracold reactions in a Bose-Fermi mixture

2012/01/25 by Chen Zhang, Javier von Stecher, Chris H. Greene
Physics and Astronomy · #Atomic physics #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fano resonance #Fermi Gamma-ray Space Telescope #Fermi gas #Fermion #Feshbach resonance #Molecule #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #Scattering length #Strong Light-Matter Interactions #cond-mat.quant-gas #physics.atom-ph

paper · pdf · doi:10.1103/physreva.85.043615

arxiv created 2012/01/25 · openalex publication_date 2012/04/18 · arxiv updated 2013/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The spectrum of two bosons and two fermions in a trap is calculated using a correlated-Gaussian basis throughout the range of a broad Fano-Feshbach resonance. The calculations provide a few-body solution to the magneto-association of fermionic Feshbach molecules. This solution is used to study the time evolution of the system as the scattering length changes, mimicking experiments with Bose-Fermi mixtures near Fano-Feshbach resonances. The structure of avoided crossings in the few-body spectrum enables an interpretation of the dynamics of the system as a sequence of Landau-Zener transitions. The calculated molecule formation rate is compared with experimental observations.

Citations