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

doi:https://doi.org/10.1103/PHYSREVLETT.100.205301

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

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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:

Braaten, Eric; Platter, Lucas ^[1]

Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

Publication Date:: 2008-05-23

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 0031-9007

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.

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                    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

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                    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.

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@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         = {0031-9007},

  number       = 20,

  volume       = 100,

  place        = {United States},

  year         = {2008},

  month        = {5}

}

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https://doi.org/10.1103/PHYSREVLETT.100.205301

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