Spatially-dependent dark states in cold atomic vapours

In this paper we expand and generalise the theoretical work underlying the results presented by F. Castellucci et al. in the paper at Ref. 1, offering an exploration into different regimes of vector light and light matter interaction as well as the inner atomic processes, such as the populations of newly derived partially dressed states which highlight the connection between polarisation and magnetic coupling, and the orbitals they correspond to. This deeper knowledge will not only increase our understanding of how light-atom interaction is impacted by the presence of magnetic fields, and is a step in improving this new method of magnetometry.