The Kitaev chain is the canonical model for the appearance of Majorana bound states (MBS). In a two-site Kitaev chain "poor man's MBS" emerge when the parameters are fine-tuned to a sweet spot, such that the chemical potential is tuned to zero and the hopping equals the superconducting pairing. In its simplest form, the coherent single particle tunneling is externally controlled by the gate voltages between dots, while the tunneling of Cooper pairs happens via virtual states in the superconductor, when electrons or holes are simultaneously created or annihilated in pairs. On the experimental side, a minimal Kitaev chain of two-sites has been realized in a platform based on quantum dots. In our work, we show that coupling a two-site interacting Kitaev chain to cavity photons offers a new and largely tunable platform to control poor man's MBS. The goal of this internship is to study how to use photon coupling to realize good quality poor man’s Majorana bound states in three-sites (and longer) interacting Kitaev chains. This project relies on state-of-the-art analytical and numerical techniques of quantum many-body physics to solve the electron-photon Hamiltonian. After successful completion of the internship there is a possibility to go on with a PhD and work on the ERC Project “Q-Light-Topo”.