Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
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Quantum Physics arXiv:2604.22010 (quant-ph) [Submitted on 23 Apr 2026] Title:Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model Authors:Tim Alhäuser, Heinz-Peter Breuer View a PDF of the paper titled Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model, by Tim Alh\"auser and Heinz-Peter Breuer View PDF HTML (experimental) Abstract:We explore the performance of the time-convolutionless (TCL) projection operator technique using the Fano-Anderson model as a test case. Comparing the exact TCL master equation with an expansion in powers of the strength of the system-environment coupling, we analyze the transient dynamics as well as the steady-state behavior. For a Lorentzian spectral density we demonstrate that the dimensionless expansion parameter corresponds to the ratio of the environmental correlation time to the relaxation time of the system, and we derive the convergence radius for the TCL expansion, which is seen to depend on the ratio of detuning and width of the spectral density. We further study the quantum non-Markovianity of the model based on the evolution of the Bures distance between quantum states and how it is represented by the second and fourth order of the expansion. Our results highlight both the strengths and the limitations of the TCL formalism in capturing key features of open quantum systems and, in particular, the challenges of accurately describing strongly coupled systems and non-Markovian dynamics. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.22010 [quant-ph] (or arXiv:2604.22010v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.22010 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: J. Chem. Phys. 164, 164110 (2026) Related DOI: https://doi.org/10.1063/5.0323348 Focus to learn more DOI(s) linking to related resources Submission history From: Heinz-Peter Breuer [view email] [v1] Thu, 23 Apr 2026 18:58:23 UTC (907 KB) Full-text links: Access Paper: View a PDF of the paper titled Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model, by Tim Alh\"auser and Heinz-Peter BreuerView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 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?)