Superuniversality of Superdiffusion

Anomalous finite-temperature transport has recently been observed in numerical studies of various integrable models in one dimension; these models share the feature of being invariant under a continuous non-Abelian global symmetry. This work offers a comprehensive group-theoretic account of this elu...

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Autores principales:	Enej Ilievski, Jacopo De Nardis, Sarang Gopalakrishnan, Romain Vasseur, Brayden Ware
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/dc25b82d6d554228aac0aaebaf9cea80
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spelling	oai:doaj.org-article:dc25b82d6d554228aac0aaebaf9cea802021-12-02T16:20:51ZSuperuniversality of Superdiffusion10.1103/PhysRevX.11.0310232160-3308https://doaj.org/article/dc25b82d6d554228aac0aaebaf9cea802021-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031023http://doi.org/10.1103/PhysRevX.11.031023https://doaj.org/toc/2160-3308Anomalous finite-temperature transport has recently been observed in numerical studies of various integrable models in one dimension; these models share the feature of being invariant under a continuous non-Abelian global symmetry. This work offers a comprehensive group-theoretic account of this elusive phenomenon. For an integrable quantum model with local interactions, invariant under a global non-Abelian simple Lie group G, we find that finite-temperature transport of Noether charges associated with symmetry G in thermal states that are invariant under G is universally superdiffusive and characterized by the dynamical exponent z=3/2. This conclusion holds regardless of the Lie algebra symmetry, local degrees of freedom (on-site representations), Lorentz invariance, or particular realization of microscopic interactions: We accordingly dub it “superuniversal.” The anomalous transport behavior is attributed to long-lived giant quasiparticles dressed by thermal fluctuations. We provide an algebraic viewpoint on the corresponding dressing transformation and elucidate formal connections to fusion identities amongst the quantum-group characters. We identify giant quasiparticles with nonlinear soliton modes of classical field theories that describe low-energy excitations above ferromagnetic vacua. Our analysis of these field theories also provides a complete classification of the low-energy (i.e., Goldstone-mode) spectra of quantum isotropic ferromagnetic chains.Enej IlievskiJacopo De NardisSarang GopalakrishnanRomain VasseurBrayden WareAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031023 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Enej Ilievski Jacopo De Nardis Sarang Gopalakrishnan Romain Vasseur Brayden Ware Superuniversality of Superdiffusion
description	Anomalous finite-temperature transport has recently been observed in numerical studies of various integrable models in one dimension; these models share the feature of being invariant under a continuous non-Abelian global symmetry. This work offers a comprehensive group-theoretic account of this elusive phenomenon. For an integrable quantum model with local interactions, invariant under a global non-Abelian simple Lie group G, we find that finite-temperature transport of Noether charges associated with symmetry G in thermal states that are invariant under G is universally superdiffusive and characterized by the dynamical exponent z=3/2. This conclusion holds regardless of the Lie algebra symmetry, local degrees of freedom (on-site representations), Lorentz invariance, or particular realization of microscopic interactions: We accordingly dub it “superuniversal.” The anomalous transport behavior is attributed to long-lived giant quasiparticles dressed by thermal fluctuations. We provide an algebraic viewpoint on the corresponding dressing transformation and elucidate formal connections to fusion identities amongst the quantum-group characters. We identify giant quasiparticles with nonlinear soliton modes of classical field theories that describe low-energy excitations above ferromagnetic vacua. Our analysis of these field theories also provides a complete classification of the low-energy (i.e., Goldstone-mode) spectra of quantum isotropic ferromagnetic chains.
format	article
author	Enej Ilievski Jacopo De Nardis Sarang Gopalakrishnan Romain Vasseur Brayden Ware
author_facet	Enej Ilievski Jacopo De Nardis Sarang Gopalakrishnan Romain Vasseur Brayden Ware
author_sort	Enej Ilievski
title	Superuniversality of Superdiffusion
title_short	Superuniversality of Superdiffusion
title_full	Superuniversality of Superdiffusion
title_fullStr	Superuniversality of Superdiffusion
title_full_unstemmed	Superuniversality of Superdiffusion
title_sort	superuniversality of superdiffusion
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/dc25b82d6d554228aac0aaebaf9cea80
work_keys_str_mv	AT enejilievski superuniversalityofsuperdiffusion AT jacopodenardis superuniversalityofsuperdiffusion AT saranggopalakrishnan superuniversalityofsuperdiffusion AT romainvasseur superuniversalityofsuperdiffusion AT braydenware superuniversalityofsuperdiffusion
_version_	1718384203301650432

Superuniversality of Superdiffusion

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