  As of now, the phenomenological classical Landau-Lifshitz (LL) damping of
magnetic order is not linked to the established quantum theory of dissipation
based on the Lindbladian master equation. This is an unsatisfactory conceptual
caveat for the booming research on magnetic dynamics. Here, it is shown that LL
dynamics can be systematically derived from Lindbladian dynamics. Thereby, the
successful LL approach is set generally on a firm quantum basis. The key aspect
is that the Lindbladian relaxation must be adapted to the Hamiltonian $H(t)$ at
each instant of time in time-dependent non-equilibrium systems. It is
conjectured that this idea holds true well beyond the damping of magnetic
dynamics.
