Optical Properties of a Semimagnetic Quantum Well in a Proximity of a Superconducting Film

We consider, via numerical calculations, a hybrid structure made of a semimagnetic Cd$\text{}_{1-x}$Mn$\text{}_{x}$Te quantum well deposited in a close proximity to superconducting niobium film. We simulate photoluminescence and the Faraday rotation spectra, modified by the presence of vortices in this type II superconductor. The magnitude of the evaluated effects is small - the vortex induced spectral line shape variation is of the order of 1% at 1 K and 0.1% at 3 K and is expected to occur mainly in the field range between 0.03 T and 0.05 T.