  We report non-equilibrium magnetodynamics in the Rashba-superconductor GeTe,
which lacks inversion symmetry in the bulk. We find that at low temperature the
system exhibits a non-equilibrium state, which decays on time scales that
exceed conventional electronic scattering times by many orders of magnitude.
This reveals a non-equilibrium magnetoresponse that is asymmetric under
magnetic field reversal and, strikingly, induces a non-equilibrium
superconducting state distinct from the equilibrium one. We develop a model of
a Rashba system where non-equilibrium configurations relax on a finite
timescale which captures the qualitative features of the data. We also obtain
evidence for the slow dynamics in another non-superconducting Rashba system.
Our work provides novel insights into the dynamics of non-centrosymmetric
superconductors and Rashba systems in general.
