KPZ scaling from the Krylov space

A Gorsky, S Nechaev, A Valov - Journal of High Energy Physics, 2024 - Springer
A bstract Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang (KPZ) scaling in late-
time correlators and autocorrelators of certain interacting many-body systems, such as …

Slow crossover from superdiffusion to diffusion in isotropic spin chains

C McCarthy, S Gopalakrishnan, R Vasseur - Physical Review B, 2024 - APS
Finite-temperature spin transport in integrable isotropic spin chains (ie, spin chains with
continuous non-Abelian symmetries) is known to be superdiffusive, with anomalous …

Landau-Lifschitz magnets: exact thermodynamics and transport

A Bastianello, Ž Krajnik, E Ilievski - Physical Review Letters, 2024 - APS
The classical Landau-Lifshitz equation—the simplest model of a ferromagnet—provides an
archetypal example for studying transport phenomena. In one-spatial dimension …

Observation of Ballistic Thermal Transport in a Nonintegrable Classical Many-Body System

J Wang, D Xiong - arXiv preprint arXiv:2402.02142, 2024 - arxiv.org
We report, for the first time, the observation of ballistic thermal transport in a nonintegrable
classical many-body system. This claim is substantiated by appropriately incorporating long …

Ballistic conductance with and without disorder in a boundary-driven XXZ spin chain

AJ McRoberts, R Moessner - arXiv preprint arXiv:2407.13816, 2024 - arxiv.org
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 …

Parametrically long lifetime of superdiffusion in non-integrable spin chains

AJ McRoberts, R Moessner - arXiv preprint arXiv:2402.18662, 2024 - arxiv.org
Superdiffusion is surprisingly easily observed even in systems without the integrability
underpinning this phenomenon. Indeed, the classical Heisenberg chain--one of the simplest …