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Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive

arXiv Quantum Physics
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Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive

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Quantum Physics arXiv:2512.13900 (quant-ph) [Submitted on 15 Dec 2025] Title:Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive Authors:Dragomir Davidovic View a PDF of the paper titled Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive, by Dragomir Davidovic View PDF HTML (experimental) Abstract:Time--convolutionless (TCL) master equations can break down at long times: time-local perturbative generators develop secular growth in correlation-dominated regimes. We mitigate this by a regulated, partially resummed reconstruction of the dynamical map around a Davies reference semigroup, expressed through a non--Markovian density-matrix correlator C(t) that remains bounded at late times. An exactly solvable rotating-wave benchmark links generator growth to interference-induced near-zeros of the coherence and shows how the reconstruction regulates the map. Applying the method to the unbiased spin--boson model reveals an emergent transverse measurement primitive: bath memory and counter--rotating terms induce phase lock-in that irreversibly erases the relative phase between $\sigma_x$ eigenspaces on a finite timescale $t_P$, yielding an effective zero-bias transverse ($\sigma_x$) measurement channel. The selected transverse basis is not assumed a priori; it follows from the reconstructed reduced dynamics. The effect disappears in the rotating-wave approximation and in the Davies weak-coupling limit, demonstrating its non--Markovian interference origin. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.13900 [quant-ph] (or arXiv:2512.13900v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.13900 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Dragomir Davidovic [view email] [v1] Mon, 15 Dec 2025 21:11:00 UTC (1,523 KB) Full-text links: Access Paper: View a PDF of the paper titled Regulated reconstruction of long-time spin--boson dynamics and emergent zero-bias transverse measurement primitive, by Dragomir DavidovicView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)

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Source: arXiv Quantum Physics