Quantum state texture of dynamical criticality
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Quantum Physics arXiv:2605.04161 (quant-ph) [Submitted on 5 May 2026] Title:Quantum state texture of dynamical criticality Authors:Lucas C. Céleri, Krissia Zawadzki, Ivan Medina, Diogo O. Soares-Pinto View a PDF of the paper titled Quantum state texture of dynamical criticality, by Lucas C. C\'eleri and 3 other authors View PDF HTML (experimental) Abstract:We investigate the role of quantum state texture in dynamical quantum phase transitions by establishing a direct connection between critical nonequilibrium dynamics and the recently introduced notion of rugosity, a measure of the quantum state texture. Considering a generic quench protocol, we analyze both standard formulations of the dynamical quantum phase transition. For type-I transitions, defined through the long-time behavior of an order parameter, we show that the time averaged rugosity, evaluated in the eigenbasis of the pre-quench Hamiltonian, acts itself as an order parameter, sharply distinguishing the dynamical phases. In the Lipkin-Meshkov-Glick model, this behavior is traced back to the underlying semiclassical structure, where the crossing of the excited-state quantum phase transition separatrix controls the redistribution of the state over the pre-quench energy basis. For type-II transitions, characterized by nonanalyticities in the Loschmidt rate function, we demonstrate that rugosity acquires a universal interpretation. For a suitable choice of basis, the rate function is exactly given by the density of rugosity, establishing a model-independent equivalence. Moreover, we show that even in physically motivated bases, such as the pre-quench energy eigenbasis, rugosity provides clear signatures of dynamical criticality. Our results place rugosity within a broader class of quantities diagnosing dynamical quantum phase transitions, including complexity and entropy production, while highlighting its distinct role as a measure of a basis-dependent quantum resource. This work provides an information-theoretic perspective on dynamical critical phenomena and opens new directions for exploring quantum texture in nonequilibrium many-body systems. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2605.04161 [quant-ph] (or arXiv:2605.04161v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.04161 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Lucas Céleri [view email] [v1] Tue, 5 May 2026 18:01:01 UTC (195 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum state texture of dynamical criticality, by Lucas C. C\'eleri and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 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?)