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Entanglement Growth from Structured Initial States in Many-Body Localized Systems

arXiv Quantum Physics
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Chen Xu and Pengfei Zhang reveal non-monotonic entanglement growth in many-body localized systems when tuning initial entanglement, first increasing then decreasing, challenging prior assumptions about steady progression. Their analysis of the random-field XXZ model shows this behavior stems from two distinct regimes: early growth driven by local magnetization tied to integrals of motion, followed by inter-site correlations dominating later stages. The study introduces Wehrl-Rényi entropy to quantify multipartite entanglement, confirming similar non-monotonic patterns for z-polarized product states but monotonic decay for x/y-polarized states, highlighting directional dependence. Building on Zhang et al.’s chaotic Hamiltonian quenching method, the work demonstrates how structured initial states—prepared via finite-time evolution—shape subsequent entanglement dynamics in disordered systems. These findings refine understanding of how initial-state properties influence quantum complexity emergence, offering a granular framework for designing entanglement-controlled many-body systems.
Entanglement Growth from Structured Initial States in Many-Body Localized Systems

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Quantum Physics arXiv:2605.20656 (quant-ph) [Submitted on 20 May 2026] Title:Entanglement Growth from Structured Initial States in Many-Body Localized Systems Authors:Chen Xu, Pengfei Zhang View a PDF of the paper titled Entanglement Growth from Structured Initial States in Many-Body Localized Systems, by Chen Xu and Pengfei Zhang View PDF HTML (experimental) Abstract:Understanding how complex entanglement structures emerge is a central problem in quantum many-body physics. Recent work by Zhang et al. has considered structured initial states prepared by evolving a product state under a chaotic Hamiltonian for a finite time before quenching to the target Hamiltonian. In this setup, total entanglement entropy growth in many-body localized systems exhibits two distinct regimes, first increasing and then decreasing as the initial entanglement is tuned. In this work, we identify the physical origin of this behavior by analyzing the dynamics of both the Rényi entanglement entropy and the Wehrl-Rényi entropy in the random-field XXZ model, the latter of which characterizes multipartite entanglement. We show that a similar non-monotonic dependence on the initial entanglement also appears in the net growth of the Wehrl-Rényi entropy for product states polarized along the $z$-direction. The first regime is governed by a finite magnetization associated with local integrals of motion, while the second reflects inter-site correlations. In contrast, for product states in the $x/y$-direction, the entanglement growth exhibits a monotonic decay. Our results provide a more fine-grained picture of how distinct initial-state properties shape entanglement dynamics in many-body localized systems. Subjects: Quantum Physics (quant-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn) Cite as: arXiv:2605.20656 [quant-ph] (or arXiv:2605.20656v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.20656 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Chen Xu [view email] [v1] Wed, 20 May 2026 03:20:37 UTC (863 KB) Full-text links: Access Paper: View a PDF of the paper titled Entanglement Growth from Structured Initial States in Many-Body Localized Systems, by Chen Xu and Pengfei ZhangView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: cond-mat cond-mat.dis-nn References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics