Giuseppe Luca Celardo - Università Cattolica di Brescia # Robustness of collective properties to disorder: the case of Superradiance # Open quantum systems are at the center of many research fields in condensed matter physics. We will introduce the non Hermitian Hamiltonian approach to open quantum systems, showing that this approach, in its simplest form, can be viewed as an extension of the Fermi Golden Rule. This approach allows to take into account the effect of the opening beyond the perturbation limit, where novel collective effects can arise. As an example of quantum collective property we consider here single excitation Superradiance.
Among the many fascinating aspects of these properties, one important open question regards their robustness to the effects induced by the presence of an environment. This robustness might enable to exploit coherent quantum effects to build quantum devices for information technologies and basic energy science. Specifically, we analyze the interplay of Superradiance, induced by the coupling to a continuum of states, and disorder, induced by the coupling with another environment, in one dimensional nanostructures. We consider static disorder (position dependent), which leads to Anderson localization. Superradiance is shown to be robust with respect to disorder. Moreover the interplay of different environments is shown to lead to novel cooperative regimes, such as the "subradiant hybrid regime".