Large momentum part of a strongly correlated Fermi gas
- Institute for Nuclear Theory, University of Washington, Seattle, WA 98195-1550 (United States)
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{sup 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{sup 4} tail and various physical quantities, including the pressure at thermal equilibrium and the rate of change of energy in a dynamic sweep of the inverse scattering length.
- OSTI ID:
- 21167681
- Journal Information:
- Annals of Physics (New York), Vol. 323, Issue 12; Other Information: DOI: 10.1016/j.aop.2008.03.005; PII: S0003-4916(08)00043-2; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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