Anomalous transport in U(1)-symmetric quantum circuits

Abstract:In this work we investigate discrete-time transport in a generic U(1)-symmetric disordered model tuned across an array of different dynamical regimes. We develop an aggregate quantity, a circular statistical moment, which is a simple function of the magnetization profile and which elegantly captures transport properties of the system. From this quantity we extract transport exponents, revealing behaviors across the phase diagram consistent with localized, diffusive, and - most interestingly for a disordered system - superdiffusive regimes. Investigation of this superdiffusive regime reveals the existence of a prethermal "swappy" regime unique to discrete-time systems in which excitations propagate coherently; even in the presence of strong disorder.

Quantum Physics (quant-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn)

arXiv:2411.14357 [quant-ph]

(or arXiv:2411.14357v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2411.14357 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1038/s41534-025-01178-8 Focus to learn more DOI(s) linking to related resources

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