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

Journal Article · Fri Jun 04 04:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.223004· OSTI ID:21410384

Braaten, Eric; Kang, Daekyoung ^[1]; Platter, Lucas ^[2]

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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)

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.

• OSTI ID: 21410384
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 104; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BASIC INTERACTIONS
DENSITY
DIMENSIONS
ELECTROMAGNETIC RADIATION
FERMI GAS
FERMIONS
FIELD THEORIES
INTERACTIONS
LENGTH
MANY-BODY PROBLEM
OPERATOR PRODUCT EXPANSION
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
RADIATIONS
RADIOWAVE RADIATION
SCATTERING LENGTHS
SERIES EXPANSION
SPECTROSCOPY
SPIN
STRONG INTERACTIONS