# Virial theorem for confined universal Fermi gases - Condensed Matter > Statistical Mechanics

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Abstract: Optically-trapped two-component Fermi gases near a broad Feshbach resonanceexhibit universal thermodynamics, where the properties of the gas areindependent of the details of the two-body scattering interactions. We presenta global proof that such a universal gas obeys the virial theorem for {\it any}trapping potential $U$ and any spin mixture, without assuming either the localdensity approximation or harmonic confinement. The total energy of the gas isgiven in scale invariant form by $E=<\epsilon\partial U-\partial\epsilon>$,where $\epsilon$ is an {\it arbitrary} energy scale in terms of which alllength and energy scales that appear in the confining potential are written.This result enables model-independent energy measurement in traps that areanharmonic as well as anisotropic by observing only the cloud profile, andprovides a consistency check for many-body calculations in the universalregime.

Autor: J. E. Thomas

Fuente: https://arxiv.org/