This paper investigates the control of topological properties of quantum matter using quantum light, specifically focusing on a one-dimensional Su-Schrieffer-Heeger (SSH) model coupled to a single-mode cavity. The authors demonstrate that quantum light can induce topological phase transitions, converting a trivial phase into a topological one and vice-versa, depending on the lattice geometry and light-matter coupling strength. The disappearance of the lower polariton branch at the topological transition point is identified as a potential probe for this transition.

Olesia Dmytruk, Marco Schiro