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High Temperature Expansion Applied to Fermions near Feshbach Resonance

2003/06/30 by Tin-Lun Ho, Erich J. Mueller, Erich J Mueller · 156 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Degenerate energy levels #Fermi gas #Fermion #Feshbach resonance #Molecule #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.92.160404

published in Physical Review Letters 92(16), 160404 (American Physical Society) · 4 pages, 4 figures (3 color, 1 BW), RevTeX4; ver4 -- updated references, changed title -- version accepted for publication in Physical Review Letters

arxiv created 2004/02/23 · openalex publication_date 2004/04/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that, apart from a difference in scale, all of the surprising recently observed properties of a degenerate Fermi gas near a Feshbach resonance persist in the high temperature Boltzmann regime. In this regime, the Feshbach resonance is unshifted. By sweeping across the resonance, a thermal distribution of bound states (molecules) can be reversibly generated. Throughout this process, the interaction energy is negative and continuous. We also show that this behavior must persist at lower temperatures unless there is a phase transition as the temperature is lowered. We rigorously demonstrate universal behavior near the resonance.

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