  The active harnessing of quantum resources in engineered quantum devices
poses unprecedented requirements on device control. Besides the residual
interaction with the environment, causing environment-induced decoherence,
uncontrolled parameters in the system itself -- disorder -- remains as a
substantial factor limiting the precision and thus the performance of devices.
These perturbations may arise, for instance, due to imperfect sample
production, stray fields, or finite accuracy of control electronics.
Disorder-dressed quantum evolution means a unifying framework, based on quantum
master equations, to analyze how these detrimental influences cause deviations
from the desired system dynamics. This description may thus contribute to
unveiling and mitigating disorder effects towards robust schemes. To
demonstrate the broad scope of this framework, we evaluate two distinct
scenarios: a central spin immersed in an isotropic spin bath, and a random mass
Dirac particle. In the former scenario, we demonstrate how the disorder average
reflects purity oscillations, indicating the time- and state-dependent severity
of the disorder impact. In the latter scenario, we discuss disorder-induced
backscattering and disorder-induced Zitterbewegung as consequences of the
breakup of spin-momentum locking.
