Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance

Details Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance

2008-06-13

arxiv.org/abs/0806.2277v1

Phys.Rev.A78:053606,2008

Physics

Condensed Matter

Other Condensed Matter

25 pages, 8 figures

Scientific paper

10.1103/PhysRevA.78.053606

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.

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