One particle in a box: the simplest model for a Fermigas in the unitary limit

Abstract

We consider a single quantum particle in a spherical box interacting with a fixed scatterer at the center, to construct a model of a degenerate atomic Fermi gas close to a Feshbach resonance. One of the key predictions of the model is the existence of two branches for the macroscopic state of the gas, as a function of the magnetic field controlling the value of the scattering length.This model is able to draw a qualitative picture of all the different features recently observed in a degenerate atomic Fermi gas close to the resonance, even in the unitary limit.

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• Observation of molecules produced from a Bose-Einstein condensate
• Formation of Quantum-Degenerate Sodium Molecules
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Cited by in corpus (21)

• Theory of ultracold Fermi gases
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Number of closed-channel molecules in the BEC-BCS crossover
• One-dimensional mixtures of several ultracold atoms: a review
• Correlations and Pair Formation in a Repulsively Interacting Fermi Gas
• Feshbach resonances with large background scattering length: interplay with open-channel resonances
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Observation of the Leggett-Rice effect in a unitary Fermi gas
• Pseudopotential in resonant regimes
• Quantum mixtures of ultracold gases of neutral atoms
• Modeling interactions for resonant p-wave scattering
• Isotropic contact forces in arbitrary representation: heterogeneous few-body problems and low dimensions
• Nonperturbative Effects on the Ferromagnetic Transition in Repulsive Fermi Gases
• The Unitary Gas and its Symmetry Properties
• On the Stability of the Repulsive Fermi Gas with Contact Interactions
• Stoner ferromagnetism of a strongly interacting Fermi gas in the quasirepulsive regime
• Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation
• Quantum Chirikov criterion: Two particles in a box as a toy model for a quantum gas
• Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum
• An exact lower energy bound for the infinite square well potential