High temperature expansion applied to fermions near Feshbach resonance
arXiv:cond-mat/0306187 · doi:10.1103/PhysRevLett.92.160404
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.
4 pages, 4 figures (3 color, 1 BW), RevTeX4; ver4 -- updated references, changed title -- version accepted for publication in Physical Review Letters
References in corpus (6)
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- Creation of ultracold molecules from a Fermi gas of atoms
- Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
- Three-body problem in Fermi gases with short-range interparticle interaction
- Decay of an ultracold fermionic lithium gas near a Feshbach resonance
- Mechanical Stability of a Strongly-Interacting Fermi Gas of Atoms
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