Universal relations for a strongly interacting Fermi gas near a Feshbach resonance
Abstract
A set of universal relations between various properties of any few-body or many-body system consisting of fermions with two spin states and a large but finite scattering length have been derived by Shina Tan. We derive generalizations of the Tan relations for a two-channel model for fermions near a Feshbach resonance that includes a molecular state whose detuning energy controls the scattering length. We use quantum field theory methods, including renormalization and the operator product expansion, to derive these relations. They reduce to the Tan relations as the scattering length is made increasingly large.
- Publication:
-
Physical Review A
- Pub Date:
- November 2008
- DOI:
- 10.1103/PhysRevA.78.053606
- arXiv:
- arXiv:0806.2277
- Bibcode:
- 2008PhRvA..78e3606B
- Keywords:
-
- 03.75.Ss;
- 31.15.-p;
- 34.50.-s;
- 67.85.Lm;
- Degenerate Fermi gases;
- Calculations and mathematical techniques in atomic and molecular physics;
- Scattering of atoms and molecules;
- Condensed Matter - Other Condensed Matter;
- Nuclear Theory
- E-Print:
- 25 pages, 8 figures