2008/06/13 by Eric Braaten, Daekyoung Kang, Lucas Platter · 2 citations
Chemistry · Physics and Astronomy · #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Fermi gas #Fermion #Feshbach resonance #Molecule #Operator (biology) #Physics #Physics of Superconductivity and Magnetism #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #Scattering #Scattering length #cond-mat.other #nucl-th
paper · pdf · doi:10.1103/physreva.78.053606
published as Phys.Rev.A78:053606,2008 · 25 pages, 8 figures
arxiv created 2008/06/13 · openalex publication_date 2008/11/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.