  We study the tidal deformability of horizonless exotic compact objects, with
implications for area quantized black holes. Since, any such horizonless
compact object, including area quantized black hole, possesses a non-zero
reflectivity, it follows that they inherit a nonzero tidal Love number, which
varies as a function of the perturbing frequency. The reflectivity of the
horizon for an area quantized black hole has a distinct shape and unmistakable
features, which are also present in the frequency-dependent tidal Love numbers,
and therefore is a smoking gun test for such quantum black holes. The existence
of these features also promotes the dynamical Love number to be a crucial
observational tool to not only distinguish area quantized black holes from
other models of horizonless compact objects, but also to differentiate between
black holes with distinct schemes of area quantization. We further discuss
implications of the same for the present and the future gravitational wave
detectors.
