  Confinement is a pivotal phenomenon in numerous models of high-energy and
statistical physics. In this study, we investigate the emergence of confined
meson excitations within a one-dimensional system, comprising Rydberg-dressed
atoms trapped and coupled to a cavity field. This system can be effectively
represented by an Ising-Dicke Hamiltonian model. The observed ground-state
phase diagram reveals a first-order transition from a ferromagnetic-subradiant
phase to a paramagnetic-superradiant phase. Notably, a quench near the
transition point within the ferromagnetic-subradiant phase induces meson
oscillations in the spins and leads to the creation of squeezed-vacuum light
states. We suggest a method for the photonic characterization of these confined
excitations, utilizing homodyne detection and single-site imaging techniques to
observe the localized particles. The methodologies and results detailed in this
paper are feasible for implementation on existing cavity-QED platforms,
employing Rydberg-atom arrays in deep optical lattices or optical tweezers.
