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We study the effect of a single impurity on the transport properties of a onedimensional quantum liquid highly excited away from its ground state by asudden quench of the bulk interaction. In particular we compute the timedependent dc current to leading order in the impurity potential, usingbosonization and starting both from the limit of a uniform system and from theone of two decoupled semi-infinite systems. Our results reveal that thenonequilibrium excitation of bulk modes induced by the global quench hasimportant effects on the conductor-insulator quantum phase transition, whichturns into a crossover for any small quench amplitude. In addition, thedynamics of the current displays a faster decay towards the steady-state ascompared to the equilibrium case, a signature of quench-induced decoherence.

Transport Across an Impurity in One Dimensional Quantum Liquids Far From Equilibrium