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

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

2010-01-25

arxiv.org/abs/1001.4518v2

Phys. Rev. Lett. 104: 223004,2010

Physics

Condensed Matter

Quantum Gases

4 pages

Scientific paper

10.1103/PhysRevLett.104.223004

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.

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