Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion
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/k{sup 4} 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.
 Authors:

 Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)
 Publication Date:
 OSTI Identifier:
 21132454
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review Letters
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 20; Other Information: DOI: 10.1103/PhysRevLett.100.205301; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 00319007
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXPECTATION VALUE; FERMI GAS; INTEGRALS; OPERATOR PRODUCT EXPANSION; SCATTERING LENGTHS; SPIN
Citation Formats
Braaten, Eric, and Platter, Lucas. Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion. United States: N. p., 2008.
Web. doi:10.1103/PHYSREVLETT.100.205301.
Braaten, Eric, & Platter, Lucas. Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion. United States. https://doi.org/10.1103/PHYSREVLETT.100.205301
Braaten, Eric, and Platter, Lucas. Fri .
"Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion". United States. https://doi.org/10.1103/PHYSREVLETT.100.205301.
@article{osti_21132454,
title = {Exact Relations for a Strongly Interacting Fermi Gas from the Operator Product Expansion},
author = {Braaten, Eric and Platter, Lucas},
abstractNote = {The momentum distribution in a Fermi gas with two spin states and a large scattering length has a tail that falls off like 1/k{sup 4} 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.},
doi = {10.1103/PHYSREVLETT.100.205301},
url = {https://www.osti.gov/biblio/21132454},
journal = {Physical Review Letters},
issn = {00319007},
number = 20,
volume = 100,
place = {United States},
year = {2008},
month = {5}
}
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