We present controlled numerical results for the ground-state spectral function of the resonant Fermi polaron in three dimensions. We establish the existence of a “dark continuum”—a region of anomalously low spectral weight between the narrow polaron peak and the rest of the spectral continuum. The dark continuum develops when the $s$-wave scattering length is of the order of the inverse Fermi wave vector, $a\lesssim 1/k_{\mathrm{F}}$, i.e., in the absence of a small interaction-related parameter when the spectral weight is not expected to feature a near-perfect gap structure after the polaron peak.

• Received 22 March 2016
• Revised 10 October 2016

DOI:https://doi.org/10.1103/PhysRevA.94.051605