A field-biased HPZ master equation and its Markovian limit
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Quantum Physics arXiv:2602.22363 (quant-ph) [Submitted on 25 Feb 2026] Title:A field-biased HPZ master equation and its Markovian limit Authors:M. Gabriela Boada G., Andrea Delgado, Jose Morales E View a PDF of the paper titled A field-biased HPZ master equation and its Markovian limit, by M. Gabriela Boada G. and 2 other authors View PDF HTML (experimental) Abstract:We present a first-principles derivation of a non-equilibrium quantum master equation for a continuously driven open quantum system interacting with a structured electromagnetic environment. Starting from a driven Caldeira-Leggett model in which an external classical field couples simultaneously to the system and reservoir degrees of freedom, we proceed without assuming that the standard equilibrium fluctuation-dissipation theorem holds. The bath statistics acquire explicit dependence on the two-time autocorrelation function of the applied field, leading to drive-biased noise correlations and intrinsically non-Markovian dynamics. By eliminating the reservoir exactly at the operator level, we obtain a driven quantum generalized Langevin equation whose noise and dissipation kernels depend on two independent times. Exploiting the Gaussian nature of the driven bath, we derive a modified Hu-Paz-Zhang master equation in which the diffusion coefficients and coherent forces inherit explicit memory of the external field. We demonstrate that the physically observable oscillation frequency remains encoded in the homogeneous Green's function of the Langevin equation, while the drive-induced corrections manifest exclusively through modified diffusion and drift terms. Our results provide a unified microscopic framework for understanding field-biased fluctuation relations with direct relevance to cavity and circuit quantum electrodynamics experiments operating far from equilibrium. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2602.22363 [quant-ph] (or arXiv:2602.22363v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.22363 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Maria Gabriela Boada [view email] [v1] Wed, 25 Feb 2026 19:45:18 UTC (74 KB) Full-text links: Access Paper: View a PDF of the paper titled A field-biased HPZ master equation and its Markovian limit, by M. Gabriela Boada G. and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 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?)