  A few-body approach relying on static line broadening theory is developed to
treat the spectroscopy of a single Rydberg excitation to a trilobite-like state
immersed in a high density ultracold medium. The present theoretical framework
implements the compact treatment of polyatomic Rydberg molecules by Eiles et
al. [arXiv:1601.06881], allowing for an accurate treatment of a large number of
perturbers within the Rydberg orbit. This system exhibits two unique spectral
signatures: its lineshape depends on the Rydberg quantum number $n$ but,
strikingly, is independent of the density of the medium, and it is
characterized by sharply peaked features reflecting the oscillatory structure
of the potential energy landscape.
