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Feshbach resonances of harmonically trapped atoms

2010/05/31 by Philipp‐Immanuel Schneider, Philipp-Immanuel Schneider, Yulian V. Vanne +2 · 7 citations
Physics and Astronomy · #Anisotropy #Atomic and Subatomic Physics Research #Atomic physics #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Feshbach resonance #Harmonic #Isotropy #Materials science #Molecule #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Resonance (particle physics) #Scattering #Shape resonance #Trap (plumbing) #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.83.030701

published in Physical Review A 83(3) (American Physical Society) · 4 pages, 2 figures; revised version with extension to anisotropic traps and new paragraph on trap-induced molecules in excited bands

arxiv created 2010/12/15 · openalex publication_date 2011/03/04 · arxiv updated 2011/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Employing a short-range two-channel description, we derive an analytic model of atoms in isotropic and anisotropic harmonic traps at a Feshbach resonance. On this basis we obtain a parametrization of the energy-dependent scattering length that differs from the one previously employed. We validate the model by comparison to full numerical calculations for 6Li-87Rb and explain quantitatively the experimental observation of a resonance shift and trap-induced molecules in exited bands. Finally, we analyze the bound state admixture and Landau-Zener transition probabilities.

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