Universal Relations for Fermions with Large Scattering Length

Details Universal Relations for Fermions with Large Scattering Length Universal Relations for Fermions with Large Scattering Length

2010-08-17

arxiv.org/abs/1008.2922v1

Physics

Condensed Matter

Quantum Gases

43 pages, 6 figures, to be published as a chapter in BCS-BEC Crossover and the Unitary Fermi Gas (Lecture Notes in Physics), e

Scientific paper

The behavior of fermions with two spin states that interact with a large scattering length is constrained by universal relations that hold for any state of the system. These relations involve a central property of the system called the contact, which measures the number of pairs of fermions with different spins that have small separations. The contact controls the thermodynamics of the system as well as the large-momentum and high-frequency tails of correlation functions. This review summarizes the current theoretical and experimental status of these universal relations.

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