Control of a single-particle localization in open quantum systems

Abstract

We investigate the possibility to control localization properties of the\nasymptotic state of an open quantum system with a tunable synthetic\ndissipation. The control mechanism relies on the matching between properties of\ndissipative operators, acting on neighboring sites and specified by a single\ncontrol parameter, and the spatial phase structure of eigenstates of the system\nHamiltonian. As a result, the latter coincide (or near coincide) with the dark\nstates of the operators. In a disorder-free Hamiltonian with a flat band, one\ncan either obtain a localized asymptotic state or populate whole flat and/or\ndispersive bands, depending on the value of the control parameter. In a\ndisordered Anderson system, the asymptotic state can be localized anywhere in\nthe spectrum of the Hamiltonian. The dissipative control is robust with respect\nto an additional local dephasing.\n