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Superdiffusion from emergent classical solitons in quantum spin chains

Superdiffusion from emergent classical solitons in quantum spin chains

Authors :
Enej Ilievski
Jacopo De Nardis
Sarang Gopalakrishnan
Romain Vasseur
Publication Year :
2020

Abstract

Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics; the results agree well with density-matrix renormalization group simulations. We establish a rigorous quantum-classical correspondence between the "giant quasiparticles" that govern superdiffusion and solitons in the classical continuous Landau-Lifshitz ferromagnet. We conclude that KPZ universality has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.<br />Published version, updated Fig 2 and supplemental material

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....5391e953243fabce91eb4e43c93b65fe