Strong coupling between light and molecular matter is currently attracting interest both in
chemistry and physics, in the fast-growing field of molecular polaritonics. The large near …

Some popular mechanisms for restricting the diffusion of waves include introducing disorder
(to provoke Anderson localization) and engineering topologically non-trivial phases (to allow …

We establish the concept of topological pumping in one-dimensional systems with long-
range couplings and apply it to the transport of a photon in quantum optical systems. In our …

We theoretically investigate the effects of criticality and multifractal states in a one-
dimensional Aubry-Andre-Harper model coupled to electromagnetic cavities. We focus on …

Optical cavities are widely used to induce strong light-matter coupling and thereby enable
the presence of polaritons. While polaritons are at the source of most of the observed …

The Schrieffer-Wolff transformation (SWT) is an important perturbative method in quantum
mechanics used to simplify Hamiltonians by decoupling low-and high-energy subspaces …

Strong light-matter interaction has been demonstrated feasible for controlling phases of
matter. In this work, the interplay with disorder is studied and rich phenomena are …

This thesis explores theoretically the fate of Anderson localization, as well as of topological
phases of matter, in the strong light-matter coupling regime. We analyze the properties of …