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Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion

2008/03/07 by Eric Braaten, Lucas Platter
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.other #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevlett.100.205301

published as Phys.Rev.Lett.100:205301,2008 · 4 pages, 2 figures

arxiv created 2008/03/07 · openalex publication_date 2008/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k4 at large momentum k, as pointed out by Tan. He used novel methods to derive exact relations between the coefficient of the tail in the momentum distribution and various other properties of the system. We present simple derivations of these relations using the operator product expansion for quantum fields. We identify the coefficient as the integral over space of the expectation value of a local operator that measures the density of pairs.

Citations