BEC-BCS crossover and universal relations in unitary Fermi gases

Details BEC-BCS crossover and universal relations in unitary Fermi gases BEC-BCS crossover and universal relations in unitary Fermi gases

2010-12-20

arxiv.org/abs/1012.4417v2

Phys. Rev. A 83, 041601(R) (2011)

Physics

Condensed Matter

Quantum Gases

5 pages, 4 figures, minor changes, published version

Scientific paper

10.1103/PhysRevA.83.041601

The contact parameter in unitary Fermi Gases governs the short-distance, high-momentum, and high-energy 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.

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