Transport across an impurity in one-dimensional quantum liquids far from equilibrium

Abstract : We study the effect of a single impurity on the transport properties of a one dimensional quantum liquid highly excited away from its ground state by a sudden quench of the bulk interaction. In particular we compute the time dependent dc current to leading order in the impurity potential, using bosonization, and starting both from the limit of a uniform system, and from the limit of two decoupled semi-infinite systems. Our results reveal that the nonequilibrium excitation of bulk modes induced by the global quench has important effects on the conductor-insulator quantum phase transition, turning it into a crossover for any small quench amplitude, and destroying the exact duality between the conducting and insulating fixed points. In addition, the current displays a faster decay towards the steady-state as compared to the equilibrium case, a signature of quench-induced decoherence.
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Marco Schiró, Aditi Mitra. Transport across an impurity in one-dimensional quantum liquids far from equilibrium. Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 91, pp.235126. ⟨10.1103/PhysRevB.91.235126⟩. ⟨cea-01228049⟩

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