Jakub Zakrzewski (26.02, 15:00)
Affiliation: Jagiellonian University, Poland Title: Many body localization in the presence of cavity mediated long-range interactions Abstract:We consider a one-dimensional Hubbard model with all-to-all couplings mediated by the interaction with the cavity field. The model exhibits many-body localization in the presence of local disorder. We numerically identify the parameter space where many-body localization occurs using exact diagonalization and finite-size scaling. The time evolution from a random initial state exhibits features consistent with the localization picture. The localization can be revealed through the time-dependent dynamics of light leaving the cavity.