Theory of Radio Frequency Spectroscopy of Polarized Fermi Gases

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dc.creatorSchneider, William
dc.creatorShenoy, Vijay B.
dc.creatorRanderia, Mohit
dc.date2009-03-17
dc.date.accessioned2026-07-07T12:53:12Z
dc.date.available2026-07-07T12:53:12Z
dc.descriptionWe present two exact results for singular features in the radio frequency intensity $I(ω)$ for ultracold Fermi gases. First, in the absence of final state interactions, $I(ω)$ has a universal high frequency tail $ Cω^{-3/2}$ for \emph{all} many-body states, where $C$ is Tan's contact. Second, in a \emph{normal} Fermi liquid at T=0, $I(ω)$ has a jump discontinuity of $Z/(1 - m/m^{*})$, where $Z$ is the quasiparticle weight and $m^*/m$ the mass renormalization. We then describe various approximations for $I(ω)$ in polarized normal gases. We show why an approximation that is exact in the $n_\dn=0$ limit, fails qualitatively for $n_{\dn} > 0$: there is no universal tail and sum rules are violated. The simple ladder approximation is qualitatively correct for very small $n_{\dn}$, but not quantitatively.
dc.description4 page, 3 figures
dc.identifierhttps://arxiv.org/abs/0903.3006
dc.identifierhttp://arxiv.org/abs/0903.3006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223545
dc.subjectOther Condensed Matter
dc.titleTheory of Radio Frequency Spectroscopy of Polarized Fermi Gases
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