Abstract：

We consider memory effects for spin dynamics and spin noise of electrons in two systems with disorder in the spin-orbit coupling. The disorder has the spatial scale of the order of 10 nm. First system is a two-dimensional electron gas in magnetic field. In contrast to the conventional regular spin-orbit coupling, here the memory effects speed up spin relaxation and make it Gaussian rather than exponential. Second system is a quantum wire, where the memory effects slow the relaxation down and make it algebraic, leading to anomalously strong spin noise at low frequencies.