Anomalous transport in U(1)-symmetric quantum circuits

Fuente: arXiv
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Autores principales: Summer, Alessandro, Nico-Katz, Alex, Dooley, Shane, Goold, John
Formato: Preprint
Publicado: 2024
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author Summer, Alessandro
Nico-Katz, Alex
Dooley, Shane
Goold, John
author_facet Summer, Alessandro
Nico-Katz, Alex
Dooley, Shane
Goold, John
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_14357
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Anomalous transport in U(1)-symmetric quantum circuits
Summer, Alessandro
Nico-Katz, Alex
Dooley, Shane
Goold, John
Quantum Physics
Disordered Systems and Neural Networks
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.
title Anomalous transport in U(1)-symmetric quantum circuits
topic Quantum Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2411.14357