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This study presents the first exact microscopic derivation of the M-Wright function for anomalous current fluctuations within quantum many-body dynamics, specifically using a one-dimensional Fermi-Hubbard model. By resolving a long-standing gap where such behaviors were previously only observed in classical systems, this work establishes a new theoretical foundation for understanding universal transport phenomena in strongly correlated quantum matter. The findings are significant for researchers investigating non-Gaussian statistics and integrable limits in quantum statistical mechanics.
Exact Anomalous Current Fluctuations in Quantum Many-Body Dynamics
arXiv:2602.24008v3 Announce Type: replace-cross Abstract: Fluctuations of integrated currents have attracted considerable interest over the past decades in the context of statistical mechanics. Recently, anomalous current fluctuations, characterized by the M-Wright function, were obtained exactly in a classical automaton [$\v{Z}$. Krajnik et al., Phys. Rev. Lett. 128, 160601 (2022)], and previous studies have shown that the anomalous behavior can arise in a variety of classical systems. Despite the rapidly growing interest in such anomalous behaviors, which capture a universal aspect of one-dimensional many-body transport, the exact derivation of the M-Wright function in quantum many-body systems has remained elusive. In this Letter, we present the first exact microscopic derivation of the M-Wright function in quantum many-body dynamics by analyzing the integrated spin current in a one-dimensional Fermi-Hubbard model with infinitely strong repulsive interactions. Our results lay the groundwork for exploring anomalous integrated currents in a broad class of quantum many-body systems.
Abstract:Fluctuations of integrated currents have attracted considerable interest over the past decades in the context of statistical mechanics. Recently, anomalous current fluctuations, characterized by the M-Wright function, were obtained exactly in a classical automaton [$Ž$. Krajnik et al., Phys. Rev. Lett. 128, 160601 (2022)], and previous studies have shown that the anomalous behavior can arise in a variety of classical systems. Despite the rapidly growing interest in such anomalous behaviors, which capture a universal aspect of one-dimensional many-body transport, the exact derivation of the M-Wright function in quantum many-body systems has remained elusive. In this Letter, we present the first exact microscopic derivation of the M-Wright function in quantum many-body dynamics by analyzing the integrated spin current in a one-dimensional Fermi-Hubbard model with infinitely strong repulsive interactions. Our results lay the groundwork for exploring anomalous integrated currents in a broad class of quantum many-body systems.
Statistical Mechanics (cond-mat.stat-mech); Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)
arXiv:2602.24008 [cond-mat.stat-mech]
(or arXiv:2602.24008v3 [cond-mat.stat-mech] for this version)
Phys. Rev. Lett. 137, 136301 (2026)
https://doi.org/10.1103/4zdv-1ryx DOI(s) linking to related resources
Full text under the publisher's open licence · 184 words
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