Anderson localization in optomechanical arrays

Optomechanical arrays (OMA) are a promising future platform for studies of transport, many-body dynamics, quantum control and topological effects in systems of coupled photonic and phononic modes. Even a weak dispersion of parameters of individual optomechanical cells makes OMA strongly disordered. We study such disordered OMA driven by an external laser, focusing on features of Anderson- and many-body localization. Driven OMA represent a unique disordered system, where key parameters can be easily controlled by varying the frequency and the amplitude of the external laser field. Such a high level of control allows one to explore a number of nontrivial aspects of localization, including generic properties of localization in non-equilibrium dissipative systems, localization of hybrid photon-phonon excitations, the interplay of localization with strong optomechanical nonlinearities, to name just a few.