Statistical delocalization in the Anyonic Aubry-Andr\'e model

Abstract:Many-body localization is remarkable in that localization persists despite the presence of dynamical interactions. Here we demonstrate the converse phenomenon: enhanced many-body delocalization induced solely by exchange statistics. We study a Aubry-André quasiperiodic system of anyons in one dimension in the absence of density-density interactions. In terms of anyon operators, the system is described by a quadratic Hamiltonian. By analyzing the finite-size scaling of its spectral properties and the inverse participation ratio of many-body eigenstates, we find that increasing the anyonic statistical phase systematically shifts the many-body localization crossover toward larger quasiperdiodic potentials. We further confirm these findings using a dynamical probe, namely the persistence of an initial density imbalance following quenches. Our results establish exchange statistics as an independent mechanism capable of altering many-body localization, revealing a fundamentally distinct route to delocalization in one-dimensional quantum systems.

Quantum Gases (cond-mat.quant-gas); Quantum Physics (quant-ph)

arXiv:2609.20029 [cond-mat.quant-gas]

(or arXiv:2609.20029v1 [cond-mat.quant-gas] for this version)

https://doi.org/10.48550/arXiv.2609.20029 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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