Quantum Correlations in Frustrated Three-Body Systems

Quantum Physics arXiv:2607.21666 (quant-ph) [Submitted on 23 Jul 2026] Title:Quantum Correlations in Frustrated Three-Body Systems Authors:Chaitali Shah, Apoorva D. Patel View a PDF of the paper titled Quantum Correlations in Frustrated Three-Body Systems, by Chaitali Shah and Apoorva D. Patel View PDF HTML (experimental) Abstract:Many physical systems are not understood from first principles due to the presence of multi-body quantum correlations. The effort taken to simulate such systems on classical computers increases exponentially with increase in the system size. We study simple, yet non-trivial, three-body frustrated systems that can help in understanding the underlying quantum correlations. First we investigate the ground state of helium-like atoms using the variational method and physically meaningful ansatze, revealing how quantum entanglement arises due to frustration in the system. Next we consider another frustrated three-body system, the hydrogen molecular ion, and analytically demonstrate the nature of its wavefunction arising from the quantum tunneling phenomenon. Finally, we extend these results to model yet another physically important system, the hydrogen bond. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2607.21666 [quant-ph] (or arXiv:2607.21666v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.21666 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Chaitali Shah [view email] [v1] Thu, 23 Jul 2026 04:49:29 UTC (3,667 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Correlations in Frustrated Three-Body Systems, by Chaitali Shah and Apoorva D. PatelView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-07 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?)