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Main Authors: Stasiuk, Andrew, Heller, Garrett, Berkey, Lance, Xing, Bo, Cappellaro, Paola
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.09549
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author Stasiuk, Andrew
Heller, Garrett
Berkey, Lance
Xing, Bo
Cappellaro, Paola
author_facet Stasiuk, Andrew
Heller, Garrett
Berkey, Lance
Xing, Bo
Cappellaro, Paola
contents Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved local quantities are expected to be diffusive. In contrast, strongly disordered systems which admit phases such as many-body localization, are predicted to inhibit thermalization and thus slow dynamical transport. Disordered systems represent a uniquely poised platform to probe the quantum-to-classical transition and the emergence of irreversible thermodynamics from the underlying unitary structure. Here, we study a strongly disordered nuclear spin ensemble, using local measurements enabled by the disordered-state technique. We observe an apparent phase transition into a sub-diffusive regime, which we model as a random walk on the emergent fractal structure of a percolating network in the dipolar spin ensemble. Our novel theoretical model provides a framework for characterizing the emergence of thermalization in closed quantum systems, even in the presence of strong disorder.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09549
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Disorder-Induced Anomalous Diffusion in a 3D Spin Network
Stasiuk, Andrew
Heller, Garrett
Berkey, Lance
Xing, Bo
Cappellaro, Paola
Disordered Systems and Neural Networks
Quantum Physics
Emergent hydrodynamics (EHD) bridges short-time unitarity with late-time thermodynamics, universal transport phenomena characterize the manner and speed of transport and thermalization. Typical non-integrable systems with few conserved local quantities are expected to be diffusive. In contrast, strongly disordered systems which admit phases such as many-body localization, are predicted to inhibit thermalization and thus slow dynamical transport. Disordered systems represent a uniquely poised platform to probe the quantum-to-classical transition and the emergence of irreversible thermodynamics from the underlying unitary structure. Here, we study a strongly disordered nuclear spin ensemble, using local measurements enabled by the disordered-state technique. We observe an apparent phase transition into a sub-diffusive regime, which we model as a random walk on the emergent fractal structure of a percolating network in the dipolar spin ensemble. Our novel theoretical model provides a framework for characterizing the emergence of thermalization in closed quantum systems, even in the presence of strong disorder.
title Disorder-Induced Anomalous Diffusion in a 3D Spin Network
topic Disordered Systems and Neural Networks
Quantum Physics
url https://arxiv.org/abs/2510.09549