BEC-BCS crossover and universal relations in unitary Fermi gases

S. Gandolfi, Kevin Schmidt, J. Carlson

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


The contact parameter in unitary Fermi gases governs the short-range correlations and high-momentum properties of the system. We perform accurate quantum Monte Carlo calculations with highly optimized trial functions to precisely determine this parameter at T=0, demonstrate its universal application to a variety of observables, and determine the regions of momentum and energy over which the leading short-range behavior is dominant. We derive Tan's expressions for the contact parameter using just the short-range behavior of the ground-state many-body wave function, and use this behavior to calculate the two-body distribution function, one-body density matrix, and the momentum distribution of unitary Fermi gases; providing a precise value of the contact parameter that can be compared to experiments.

Original languageEnglish (US)
Article number041601
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
StatePublished - Apr 1 2011

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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