Entanglement Evolution of Noisy Quantum Systems: Master Equation-TFD Solutions

Quantum Physics arXiv:2512.11932 (quant-ph) [Submitted on 12 Dec 2025] Title:Entanglement Evolution of Noisy Quantum Systems: Master Equation-TFD Solutions Authors:Urjjarani Patel, KVS Shiv Chaitanya View a PDF of the paper titled Entanglement Evolution of Noisy Quantum Systems: Master Equation-TFD Solutions, by Urjjarani Patel and KVS Shiv Chaitanya View PDF HTML (experimental) Abstract:In this paper, Thermofield Dynamics (TFD) is applied to map a quantum optics nonlinear master equation into a Schrodinger-like equation for any arbitrary initial condition. This formalism provides a more efficient way for solving open quantum system problems. Then we use the Hartree-Fock approximation to solve the master equations of two separate noisy quantum systems analytically, which allows us to analyze the entanglement and quantum mutual information in each case using the eigenvalues of a covariance matrix, followed by two-mode and single-mode squeezed states. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.11932 [quant-ph] (or arXiv:2512.11932v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.11932 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: K. V. S. Shiv Chaitanya [view email] [v1] Fri, 12 Dec 2025 05:21:46 UTC (95 KB) Full-text links: Access Paper: View a PDF of the paper titled Entanglement Evolution of Noisy Quantum Systems: Master Equation-TFD Solutions, by Urjjarani Patel and KVS Shiv ChaitanyaView 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?)