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- W3085569219 abstract "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 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 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 as 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." @default.
- W3085569219 created "2020-09-21" @default.
- W3085569219 creator A5016712389 @default.
- W3085569219 creator A5056107519 @default.
- W3085569219 creator A5056673039 @default.
- W3085569219 creator A5056689592 @default.
- W3085569219 creator A5066629802 @default.
- W3085569219 date "2021-07-28" @default.
- W3085569219 modified "2023-10-18" @default.
- W3085569219 title "Superuniversality of Superdiffusion" @default.
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