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Superdiffusion from emergent classical solitons in quantum spin chains
Superdiffusion from emergent classical solitons in quantum spin chains
- 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
- Subjects :
- Physics
Quantum Physics
Integrable system
Statistical Mechanics (cond-mat.stat-mech)
Strongly Correlated Electrons (cond-mat.str-el)
Isotropy
General Physics and Astronomy
FOS: Physical sciences
Renormalization group
01 natural sciences
Universality (dynamical systems)
Quantum spin chains
Condensed Matter - Strongly Correlated Electrons
Ferromagnetism
Quantum mechanics
0103 physical sciences
Quasiparticle
Condensed Matter::Statistical Mechanics
Condensed Matter::Strongly Correlated Electrons
010306 general physics
Quantum Physics (quant-ph)
Quantum
Condensed Matter - Statistical Mechanics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....5391e953243fabce91eb4e43c93b65fe