Transport through interacting defects and lack of thermalisation

Abstract

We consider 1D integrable systems supporting ballistic propagation of excitations, perturbed by a localised defect that breaks most conservation laws and induces chaotic dynamics. Focusing on classical systems, we study an out-of-equilibrium protocol engineered activating the defect in an initially homogeneous and far from the equilibrium state. We find that large enough defects induce full thermalisation at their center, but nonetheless the outgoing flow of carriers emerging from the defect is non-thermal due to a generalization of the celebrated Boundary Thermal Resistance effect, occurring at the edges of the chaotic region. Our results are obtained combining ab-initio numerical simulations for relatively small-sized defects, with the solution of the Boltzmann equation, which becomes exact in the scaling limit of large, but weak defects.

21 pages, 7 figures

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• Quench dynamics of noninteracting fermions with a delta impurity
• Navier-Stokes equations for nearly integrable quantum gases
• Stationary time correlations for fermions after a quench in the presence of an impurity
• On Landauer--Büttiker formalism from a quantum quench
• Absence of thermalization of free systems coupled to gapped interacting reservoirs
• A hydrodynamic approach to Stark localization
• Quantum fluctuating theory for one-dimensional shock waves
• Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases