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 one 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, which turns into a crossover for any small quench amplitude. In addition, the dynamics of the current displays a faster decay towards the steady-state as compared to the equilibrium case, a signature of quench-induced decoherence.

15 pages, 7 figs; v3: minor changes

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• Quench-induced entanglement and relaxation dynamics in Luttinger liquids
• Transient Loschmidt Echo in Quenched Ising Chains
• Non-equilibrium effects on charge and energy partitioning after an interaction quench
• Quench dynamics and relaxation of a spin coupled to interacting leads
• Universal scaling of quench-induced correlations in a one-dimensional channel at finite temperature
• Universal transport dynamics in a quenched tunnel-coupled Luttinger liquid
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Quench dynamics of the Kondo effect: transport across an impurity coupled to interacting wires
• Emergence of $X$ states in a quantum impurity model
• Optimal protocols for finite-duration quantum quenches in the Luttinger model
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• Fidelity of the Kitaev honeycomb model under a quench
• From Luttinger liquids to Luttinger droplets via higher-order bosonization identities