Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain
Adam J. McRoberts, Roderich Moessner
SciPost Phys. 18, 015 (2025) · published 14 January 2025
- doi: 10.21468/SciPostPhys.18.1.015
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Abstract
Motivated by recent experiments on Google's sycamore NISQ platform on the spin transport resulting from a non-unitary periodic boundary drive of an XXZ chain, we study a classical variant thereof by a combination of analytical and numerical means. We find the classical model reproduces the quantum results in remarkable detail, and provides an analytical handle on the nature and shape of the spin transport's three distinct regimes: ballistic (easy-plane), subdiffusive (isotropic) and insulating (easy-axis). Further, we show that this phenomenology is remarkably robust to the inclusion of bond disorder – albeit that the transient dynamics approaching the steady states differs qualitatively between the clean and disordered cases – providing an accessible instance of ballistic transport in a disordered setting.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Adam McRoberts,
- 1 Roderich Moessner
- 1 Max-Planck-Institut für Physik komplexer Systeme / Max Planck Institute for the Physics of Complex Systems
- 2 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]