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Superdiffusion in One-Dimensional Quantum Lattice Models

Superdiffusion in One-Dimensional Quantum Lattice Models

We identify a class of one-dimensional spin and fermionic lattice models that display diverging spin and charge diffusion constants, including several paradigmatic models of exactly solvable, strongly correlated many-body dynamics such as the isotropic Heisenberg spin chains, the Fermi-Hubbard model, and the $t\text{\ensuremath{-}}J$ model at the integrable point. Using the …