Exact Anomalous Current Fluctuations in Quantum Many-Body Dynamics

arXiv:2602.24008 · cond-mat.stat-mech, cond-mat.quant-gas, cond-mat.str-el, nlin.SI, quant-ph · Submitted 2026-02-27 · Read on arXiv

cond-mat.stat-mech, cond-mat.quant-gas, cond-mat.str-el, nlin.SI, quant-ph

Submitted: 2026-02-27

Updated: 2026-09-29

Terminology

• Hubbard Model — 8× in this paper · explained in 3 episodes
• Robustness — 3× in this paper · explained in 5 episodes
• Universality Class — 3× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Unitary Dynamics — 2× in this paper · explained in 2 episodes
• Diffusion Processes — 1× in this paper · explained in 2 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• I of Supplemental Material — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Superdiffusion and anomalous fluctuations in chiral integrable dynamics
• Exact Current Fluctuations in a Tight-Binding Chain with Dephasing Noise
• Hydrodynamic fluctuations of stochastic charged cellular automata
• Ballistic macroscopic fluctuation theory via mapping to point particles
• Anomalous hydrodynamic fluctuations in the quantum XXZ spin chain
• Anomalous Diffusion and Superdiffusion in Integrable Spin Chains via a Hard-Rod Gas Mapping

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