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Superuniversality of Superdiffusion
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DOI：10.1103/PhysRevX.11.031023.png)
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摘要
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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.
Keyword:
PRINCIPAL CHIRAL FIELD
FACTORIZED S-MATRIX
MANY-BODY PROBLEM
BETHE-ANSATZ
2 DIMENSIONS
ADS/CFT INTEGRABILITY
STATISTICAL-MECHANICS
GOLDSTONE BOSONS
ALGEBRAIC CURVE
HIROTA EQUATION
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15.7
论文数:
2.7K
被引数:
3.4W
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