Superdiffusion from emergent classical solitons in quantum spin chains

• URL: http://arxiv.org/abs/2003.13708v2
• Date: Wed, 12 Aug 2020 17:36:12 GMT
• Title: Superdiffusion from emergent classical solitons in quantum spin chains
• Authors: Jacopo De Nardis, Sarang Gopalakrishnan, Enej Ilievski, and Romain Vasseur
• Abstract summary: Finite-temperature spin transport in the quantum Heisenberg spin chain is superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang universality class. We compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics. We conclude that KPZ has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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