  The observation of Majorana fermions as collective excitations in
condensed-matter systems is an ongoing quest, and several state-of-the-art
experiments have been performed in the last decade. As a potential avenue in
this direction, we simulate the high-harmonic power spectrum of Kitaev's
superconducting chain model that hosts Majorana edge modes in its topological
phase, and find their fingerprints in the spectral profiles. It is well-known
that this system exhibits a topological--trivial superconducting phase
transition. We demonstrate that high-harmonic spectroscopy is sensitive to the
phase transition in presence of open boundary conditions. The population
dynamics of the Majorana edge modes are different from the bulk modes, which is
the underlying reason for the distinct harmonic profile of both the phases. On
the contrary, in presence of periodic boundary conditions with only bulk modes,
high-harmonic spectroscopy becomes insensitive to the phase transition with
similar harmonic profiles in both phases.
