Seminarium Fizyki Materii Skondensowanej

One dimensional p-wave (or topological) mesoscopic superconductors are known to host zero energy end modes known as Majorana fermions, i. e. particles that are their own antiparticle. These exotic objects are robust against local perturbations and, moreover, they obey non-Abelian statistics under braiding operations, thus recommending them as qubits for the implementation of a topological quantum computer. While most of the studies of these systems pertain to electronic transport, which is invasive by nature, I will show that the cavity photons give direct access to various electronic susceptibilities of the topological superconductor, which in turn reveals some of its exotic features in a non-invasive fashion. Specifically, in my talk I will show that the the topological phase transition, the presence Majorana fermions, the fractional Josephson effect, as well as their exotic exchange statistics pertaining to their braiding can be imprinted into the electromagnetic field of the cavity.