  Axionlike particles (ALPs) can be produced in the Sun, and are considered
viable candidates for the cosmological dark matter (DM). It can decay into two
photons or interact with matter. We identify new inelastic channels of inverse
Primakoff processes due to atomic excitation and ionization. Their cross
sections are derived by incorporating full electromagnetic fields of atomic
charge and current densities, and computed by well-benchmarked atomic many-body
methods. Complementing data from the underground XENONnT and surface TEXONO
experiments are analyzed. Event rates and sensitivity reaches are evaluated
with respect to solar- and DM-ALPs. New parameter space in ALP couplings with
the photons versus ALP masses in (1~eV$-$10~keV) not previously accessible to
laboratory experiments are probed and excluded with solar-ALPs. However, at
regions where DM-ALPs have already decayed, there would be no ALP-flux and
hence no interactions at the detectors in direct search experiments. No physics
constraints can be derived. Future projects would be able to evade the
stability bound and open new observable windows in (100~eV$-$1~MeV) for
DM-ALPs.
