  The reconstruction of attosecond beating by interference of two-photon
transitions (RABBIT) is one of the most widely used techniques for obtaining
both the relative phases of harmonics forming an attosecond pulse train and the
phase of atomic radiative transitions. If the latter is computed by theory, it
allows to reconstruct the attosecond pulse train; if the former is known
experimentally, it allows reconstruction of the electronic dynamics of
photoionization in atomic and molecular systems with attosecond temporal
resolution. As it relies on the interference of photo-electrons in vacuum,
similar interference has never been contemplated inside crystals. Here we
explore the applicability of this scheme to solid-state systems using a
one-dimensional model and a DFT-calculated structure of 2D hexagonal boron
nitride. We discuss the possibility of: (i) reconstructing the relative phases
between harmonics with trivial influence of the 'atomic phase', (ii) retrieving
the relative phases of two-photon transitions through different bands, which
are generally challenging to obtain both experimentally and numerically. These
phases are recorded in the beating of the population signal arising from
interfering two-photon pathways, and can be read-out with angle-resolved
photo-emission spectroscopy. Furthermore, the amplitude of the population
beating decays as the pump and probe pulses are separated in time due to
electron-hole decoherence, providing a simple interferometric method to extract
dephasing times.
