Large momentum part of fermions with large scattering length

Details Large momentum part of fermions with large scattering length Large momentum part of fermions with large scattering length

2005-08-12

arxiv.org/abs/cond-mat/0508320v2

Annals of Physics 323 (2008) 2971-2986

Physics

Condensed Matter

Statistical Mechanics

11 pages, 1 figure; a typo corrected

Scientific paper

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.

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