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We investigate the behaviour of a single qubit coupled to a low-dimensional,ultra-cold Fermi gas. The scattering between the system and the fermions leadsto the loss of any coherence in the initial state of the qubit and we show thatthe exact dynamics of this process is strongly influenced by the effect of theorthogonality catastrophe within the gas. We highlight the relationship betweenthe Loschmidt echo and the retarded Green's function - typically used toformulate the dynamical theory of the catastrophe - and demonstrate that theeffect can be triggered and characterized via local operations on the qubit. Wedemonstrate how the expected broadening of the spectral function can beobserved using Ramsey interferometry on the qubit.

Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas