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Title: Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly Interacting Fermi Gas

Abstract

Universal relations that hold for any state provide powerful constraints on systems consisting of fermions with two spin states interacting with a large scattering length. In radio-frequency (rf) spectroscopy, the mean shift in the rf frequency and the large-frequency tail of the rf transition rate are proportional to the contact, which measures the density of pairs with small separations. We show that these universal relations can be derived and extended by using the short-time operator product expansion of quantum field theory. This is a general method for identifying aspects of many-body physics that are controlled by few-body physics.

Authors:
;  [1];  [2]
  1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)
  2. Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195 (United States)
Publication Date:
OSTI Identifier:
21410384
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 104; Journal Issue: 22; Other Information: DOI: 10.1103/PhysRevLett.104.223004; (c) 2010 The American Physical Society; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DENSITY; FERMI GAS; FERMIONS; MANY-BODY PROBLEM; OPERATOR PRODUCT EXPANSION; QUANTUM FIELD THEORY; RADIOWAVE RADIATION; SCATTERING LENGTHS; SPECTROSCOPY; SPIN; STRONG INTERACTIONS; ANGULAR MOMENTUM; BASIC INTERACTIONS; DIMENSIONS; ELECTROMAGNETIC RADIATION; FIELD THEORIES; INTERACTIONS; LENGTH; PARTICLE PROPERTIES; PHYSICAL PROPERTIES; RADIATIONS; SERIES EXPANSION

Citation Formats

Braaten, Eric, Kang, Daekyoung, and Platter, Lucas. Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly Interacting Fermi Gas. United States: N. p., 2010. Web. doi:10.1103/PHYSREVLETT.104.223004.
Braaten, Eric, Kang, Daekyoung, & Platter, Lucas. Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly Interacting Fermi Gas. United States. https://doi.org/10.1103/PHYSREVLETT.104.223004
Braaten, Eric, Kang, Daekyoung, and Platter, Lucas. Fri . "Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly Interacting Fermi Gas". United States. https://doi.org/10.1103/PHYSREVLETT.104.223004.
@article{osti_21410384,
title = {Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly Interacting Fermi Gas},
author = {Braaten, Eric and Kang, Daekyoung and Platter, Lucas},
abstractNote = {Universal relations that hold for any state provide powerful constraints on systems consisting of fermions with two spin states interacting with a large scattering length. In radio-frequency (rf) spectroscopy, the mean shift in the rf frequency and the large-frequency tail of the rf transition rate are proportional to the contact, which measures the density of pairs with small separations. We show that these universal relations can be derived and extended by using the short-time operator product expansion of quantum field theory. This is a general method for identifying aspects of many-body physics that are controlled by few-body physics.},
doi = {10.1103/PHYSREVLETT.104.223004},
url = {https://www.osti.gov/biblio/21410384}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 22,
volume = 104,
place = {United States},
year = {2010},
month = {6}
}