Short-Time Operator Product Expansion for rf Spectroscopy of a Strongly Interacting Fermi Gas
Eric BraatenDepartment of Physics, The Ohio State University, Columbus, Ohio 43210, USADaekyoung KangDepartment of Physics, The Ohio State University, Columbus, Ohio 43210, USALucas PlatterInstitute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA
2010en
ABI
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.
Identifiers
Citations and references
Cited by 20 references