ABSTRACT Recent research has observed the occurrence of pseudo‐mobility edge (ME) within a modulated mosaic model incorporating the Wannier‐Stark potential. This pseudo‐ME signifies the critical energy that distinguishes between ergodic and weakly ergodic or ergodic and nonergodic states, which is a crucial concept in understanding the transport and localization phenomena in Wannier‐Stark systems. Here, by computing the steady‐state density matrix, we investigate the influence of dissipation on a finite‐height mosaic Wannier‐Stark lattice that features such pseudo‐MEs. We find that a particular dissipation can steer the system into specific states predominantly characterized by either weakly ergodic or nonergodic states, regardless of its initial state. This suggests that dissipation can be harnessed as a novel method to manipulate particle localization behaviors in disorder‐free systems.
Jiang et al. (Fri,) studied this question.