Ballistic transport and boundary resistances in inhomogeneous quantum spin chains

Alberto Biella (), Mario Collura, Davide Rossini, Andrea De Luca and Leonardo Mazza
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Alberto Biella: Université de Paris, Laboratoire Matériaux et Phénomènes Quantiques, CNRS
Mario Collura: Universität des Saarlandes
Davide Rossini: Università di Pisa and INFN
Andrea De Luca: Oxford University
Leonardo Mazza: LPTMS, UMR 8626, CNRS, Université Paris-Sud, Université Paris-Saclay

Nature Communications, 2019, vol. 10, issue 1, 1-11

Abstract: Abstract Transport phenomena are central to physics, and transport in the many-body and fully-quantum regime is attracting an increasing amount of attention. It has been recently revealed that some quantum spin chains support ballistic transport of excitations at all energies. However, when joining two semi-infinite ballistic parts, such as the XX and XXZ spin-1/2 models, our understanding suddenly becomes less established. Employing a matrix-product-state ansatz of the wavefunction, we study the relaxation dynamics in this latter case. Here we show that it takes place inside a light cone, within which two qualitatively different regions coexist: an inner one with a strong tendency towards thermalization, and an outer one supporting ballistic transport. We comment on the possibility that even at infinite time the system supports stationary currents and displays a non-zero Kapitza boundary resistance. Our study paves the way to the analysis of the interplay between transport, integrability, and local defects.

Date: 2019
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DOI: 10.1038/s41467-019-12784-4

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