Dynamical system analysis of quantum tunneling in an asymmetric double-well potential

Quantum Physics arXiv:2510.24100 (quant-ph) [Submitted on 28 Oct 2025] Title:Dynamical system analysis of quantum tunneling in an asymmetric double-well potential Authors:Swetamber Das, Arghya Dutta View a PDF of the paper titled Dynamical system analysis of quantum tunneling in an asymmetric double-well potential, by Swetamber Das and Arghya Dutta View PDF HTML (experimental) Abstract:We study quantum tunneling in an asymmetric double-well potential using a dynamical systems--based approach rooted in the Ehrenfest formalism. In this framework, the time evolution of a Gaussian wave packet is governed by a hierarchy of coupled equations linking lower- and higher-order position moments. An approximate closure, required to render the system tractable, yields a reduced dynamical system for the mean and variance, with skewness entering explicitly due to the potential's asymmetry. Stability analysis of this system identifies energy thresholds for detectable tunneling across the barrier and reveals regimes where tunneling, though theoretically allowed, remains practically undetectable. Comparison with full numerical solutions of the time-dependent Schrödinger equation shows that, beyond reproducing key tunneling features, the dynamical systems approach provides an interpretable description of quantum transport through tunneling in an effective asymmetric two-level system. Comments: Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD); Chemical Physics (physics.chem-ph) Cite as: arXiv:2510.24100 [quant-ph] (or arXiv:2510.24100v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2510.24100 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Arghya Dutta [view email] [v1] Tue, 28 Oct 2025 06:11:28 UTC (804 KB) Full-text links: Access Paper: View a PDF of the paper titled Dynamical system analysis of quantum tunneling in an asymmetric double-well potential, by Swetamber Das and Arghya DuttaView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-10 Change to browse by: math math-ph math.MP nlin nlin.CD 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?)