  Light-matter interactions are known to lead to the formation of polariton
states through what is called strong coupling, leading to the formation of two
hybrid states usually tagged as Upper and Lower Polaritons. Here, we consider a
similar interaction between excitons and photons in the realm of strong
interactions, with the difference that it enables us to obtain a
mixed-polariton state. In this case, the energy of this mixed state is found
between the energies of the exciton state and the cavity mode, resulting in an
imaginary coupling coefficient related to a specific class of singular points.
These mixed states are often considered unobservable, although they are
predicted well when the dressed states of a two-level atom are considered.
However, intense light confinement can be obtained by using a Bound State in
the Continuum, reducing the damping rates, and enabling the observation of
mixed states resulting from the correct kind of exceptional point giving place
to strong coupling. In this study, using the Transfer Matrix Method, we
simulated cavities made of porous silicon coupled with CsPbBr3 perovskite
quantum dots to numerically observe the mixed states as well as experimentally,
by fabricating appropriate samples. The dispersion relation of the mixed states
is fitted using the same equation as that used for strong coupling but
considering a complex coupling coefficient, which is directly related to the
appropriate type of exceptional point.
