Petruccione, Francesco.Sinayskiy, Llya.Qwabe, Henry Simphiwe.2018-10-232018-10-2320172017http://hdl.handle.net/10413/15716Masters of Science in Physics. University KwaZulu-Natal, Durban 2017.We present the results of the numerical investigations of light-matter interactions in one and two dimensions from the quantum mechanical perspective. We investigate the dynamics of two-level systems coupled to quantized electromagnetic fields. We construct a quantum mechanical model to demonstrate how light interacts with classical objects such as mirrors and beam-splitters made from group of atoms, where each atom is modelled as a two-level system. We have been able to simulate behaviour of a singlephoton being reflected and transmitted as a process of absorption and re-emission by the atoms.en-ZANumerical.Investigations.Mirrors.Beam splitters.Numerical simulations of fundamental light-matter interactions.Thesis