  Mobility edge (ME), representing the critical energy that distinguishes
between extended and localized states, is a key concept in understanding the
transition between extended (metallic) and localized (insulating) states in
disordered and quasiperiodic systems. Here we explore the impact of dissipation
on a quasiperiodic system featuring MEs by calculating steady-state density
matrix and analyzing quench dynamics with sudden introduction of dissipation,
and demonstrate that dissipation can lead the system into specific states
predominantly characterized by either extended or localized states,
irrespective of the initial state. Our results establish the use of dissipation
as a new avenue for inducing transitions between extended and localized states,
and for manipulating dynamic behaviors of particles.
