Feshbach resonances in ultracold gases

Abstract

In this chapter, we describe scattering resonance phenomena in general, and focus on the mechanism of Feshbach resonances, for which a multi-channel treatment is required. We derive the dependence of the scattering phase shift on magnetic field and collision energy. From this, the scattering length and effective range coefficient can be extracted, expressions which are particularly useful for ultracold gases.

23 pages, 3 figures. This article will be published as Chapter 4 in "Quantum gas experiments - exploring many-body states", edited by P. Törmä and K. Sengstock, Imperial College Press, London, to be published 2014

References in corpus (6)

• A High Phase-Space-Density Gas of Polar Molecules
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Three-boson problem near a narrow Feshbach resonance
• Total control over ultracold interactions via electric and magnetic fields
• Asymptotic Bound-state Model for Feshbach Resonances

Cited by in corpus (11)

• Quantum Many-Body Scars in Optical Lattices
• Strong coupling Bose polarons in a BEC
• Controlling a quantum gas of polar molecules in an optical lattice
• Multiple scattering dynamics of fermions at an isolated p-wave resonance
• Momentum-resolved spectroscopy of a Fermi liquid
• Improving Efficiency of Sympathetic Cooling in Atom-Ion and Atom-Atom Confined Collisions
• A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions
• Quenched Magneto-association of Ultracold Feshbach Molecules
• Entanglement in spatial adiabatic processes for interacting atoms
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Closed-channel parameters of Feshbach resonances