Detecting quantumness with generalized Loschmidt echoes

Quantum Physics arXiv:2608.06562 (quant-ph) [Submitted on 6 Aug 2026] Title:Detecting quantumness with generalized Loschmidt echoes Authors:Cecilia Cormick, Adrián A. Budini View a PDF of the paper titled Detecting quantumness with generalized Loschmidt echoes, by Cecilia Cormick and Adri\'an A. Budini View PDF HTML (experimental) Abstract:Loschmidt echoes are a well-established method to characterize dynamical properties such as quantum chaos and sensitivity to perturbations. Here we present a straightforward generalization that identifies non-classical dynamical behavior. The generalized echoes involve four forward-backward time propagators. If these propagators do not commute, one can readily identify signatures of this property in the relations between echoes. As an example, detection of intrinsic non-commuting quantum features is analyzed in critical dynamics of a spin chain. Interestingly, this phenomenon is also observed for Gaussian dynamics and high temperature limits which are generally regarded as classical. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.06562 [quant-ph] (or arXiv:2608.06562v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.06562 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Phys. Lett. A 593 (2026) 132011 Related DOI: https://doi.org/10.1016/j.physleta.2026.132011 Focus to learn more DOI(s) linking to related resources Submission history From: Adrian Budini [view email] [v1] Thu, 6 Aug 2026 20:16:57 UTC (82 KB) Full-text links: Access Paper: View a PDF of the paper titled Detecting quantumness with generalized Loschmidt echoes, by Cecilia Cormick and Adri\'an A. BudiniView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-08 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?)