Magnetism and superconductivity are potentially two competing phases of matter. However, their interplay can lead to new exotic phases of matter such as topological superconductivity. As topological superconductivity seems not so frequent in nature, one strategy consists of engineering it based on building arrays of magnetic impurities on a superconducting substrate. The interaction between a magnets and the superconductor leads to intra-gap localized bound states. In this internship, we propose to study the dynamics of a simple model of a quantum spin impurity interacting with a superconducting substrate in the zero-band limit and subject to a time-dependent magnetic field. This proposal is part of a collaboration we have with experimentalists.