Large momentum part of fermions with large scattering length

By Shina Tan. 2005

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It is well known that the momentum distribution of the two-component Fermi gas with large scattering length has a tail proportional to 1 /k 4 at large k . We show that the magnitude of this tail is equal to the adiabatic derivative of the energy with respect to the reciprocal of the scattering length, multiplied by a simple constant. This result holds at any temperature (as long as the effective interaction radius is negligible) and any large scattering length; it also applies to few-body cases. We then show some more connections between the 1 /k 4 tail and various physical quantities, in particular the rate of change of energy in a dynamic sweep of the inverse scattering length.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/3763395082e9d653f594fb2efa486948d3326d7c