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Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields

arXiv Quantum Physics
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⚡ Quantum Brief
Amartya Bose introduces an upgraded path integral Lindblad dynamics (PILD) method that overcomes prior limitations by incorporating time-dependent external fields, addressing a critical gap in quantum system modeling. The original PILD framework, published in 2024, relied on time-translational invariance of the Nakajima-Zwanzig memory kernel, restricting its use to static environments and excluding dynamic field interactions. This new formulation eliminates the need to directly compute non-Markovian memory kernels, simplifying calculations and expanding applicability to Floquet systems—periodically driven quantum systems. The method enhances modeling of empirical processes like quantum pumps and drains in thermal environments, offering a more versatile tool for open quantum system simulations. Submitted in January 2026, the work bridges quantum physics and chemical physics, with potential implications for quantum control, thermodynamics, and driven-dissipative system research.
Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields

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Quantum Physics arXiv:2601.04604 (quant-ph) [Submitted on 8 Jan 2026] Title:Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields Authors:Amartya Bose View a PDF of the paper titled Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields, by Amartya Bose View PDF HTML (experimental) Abstract:The path integral Lindblad dynamics (PILD) method [A. Bose, J. Phys. Chem. Lett. 15(12), 3363-3368 (2024)] had been introduced as a way of incorporating the impact of certain empirical processes like pumps and drains on the dynamics of quantum systems interacting with thermal environments. The method being based on the time-translational invariance of the Nakajima-Zwanzig memory kernel, however, was not able to account for time-dependent external fields. In this communication, we give an alternate, simpler formulation of PILD, that allows us to go beyond this limitation. It does not require the evaluation of the non-Markovian memory kernel directly, and consequently can be applied to Floquet systems as well. Comments: Subjects: Quantum Physics (quant-ph); Chemical Physics (physics.chem-ph) Cite as: arXiv:2601.04604 [quant-ph] (or arXiv:2601.04604v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.04604 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Amartya Bose [view email] [v1] Thu, 8 Jan 2026 05:17:59 UTC (326 KB) Full-text links: Access Paper: View a PDF of the paper titled Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields, by Amartya BoseView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 Change to browse by: physics physics.chem-ph 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