Far-from-equilibrium dynamics of spin-orbit coupled superfluids

We present the results of the theoretical study for the collisionless dynamics of the pairing amplitude in two-dimensional superfluid with strong spin-orbit coupling. We consider the cases when the dynamics is initiated by a sudden change of the coupling constant or an external magnetic field. Depending on the initial conditions and an amplitude of a quench, at long times the pairing amplitude dynamically vanishes, reaches a constant or periodically oscillates with time. We determine the corresponding steady state phase diagram exactly for generic quenches of the coupling constant and specific quenches of the magnetic field. We also study topological Floquet superfluidity which can be generated by the periodic oscillations of the pairing amplitude.