Disorder-Induced Anomalous Diffusion in a 3D Spin Network
- URL: http://arxiv.org/abs/2510.09549v2
- Date: Tue, 21 Oct 2025 18:07:31 GMT
- Title: Disorder-Induced Anomalous Diffusion in a 3D Spin Network
- Authors: Andrew Stasiuk, Garrett Heller, Lance Berkey, Bo Xing, Paola Cappellaro,
- Abstract summary: We study a strongly disordered nuclear spin ensemble using local measurements enabled by the disordered-state technique.<n>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.
- Score: 0.07456526005219319
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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