Asymptotic dynamics in the Heisenberg picture: attractor subspace and Choi-Effros product

Quantum Physics arXiv:2511.17770 (quant-ph) [Submitted on 21 Nov 2025] Title:Asymptotic dynamics in the Heisenberg picture: attractor subspace and Choi-Effros product Authors:Daniele Amato, Paolo Facchi, Arturo Konderak View a PDF of the paper titled Asymptotic dynamics in the Heisenberg picture: attractor subspace and Choi-Effros product, by Daniele Amato and Paolo Facchi and Arturo Konderak View PDF HTML (experimental) Abstract:We study the asymptotic dynamics of open quantum systems in the Heisenberg picture. We find an explicit expression for the attractor subspace and the dynamics that takes place in it. We present the relationship between the attractor subspaces in the Schrödinger and Heisenberg pictures and, in particular, the connection between their algebraic structures. An unfolding theorem of the asymptotics, as well as the fine structure of the recently introduced Choi-Effros decoherence-free algebra, are also discussed. Finally, we show how to extend all the results to the class of Schwarz maps. Comments: Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph) Cite as: arXiv:2511.17770 [quant-ph] (or arXiv:2511.17770v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.17770 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Open System & Information Dynamics Vol.32, No. 03, 2550014, 2025 Related DOI: https://doi.org/10.1142/S1230161225500143 Focus to learn more DOI(s) linking to related resources Submission history From: Arturo Konderak [view email] [v1] Fri, 21 Nov 2025 20:34:46 UTC (28 KB) Full-text links: Access Paper: View a PDF of the paper titled Asymptotic dynamics in the Heisenberg picture: attractor subspace and Choi-Effros product, by Daniele Amato and Paolo Facchi and Arturo KonderakView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 Change to browse by: math math-ph math.MP 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)