Fractional squeezing: spectra and dynamics from generalized squeezing Hamiltonian with fractional orders

Quantum Physics arXiv:2601.15693 (quant-ph) [Submitted on 22 Jan 2026] Title:Fractional squeezing: spectra and dynamics from generalized squeezing Hamiltonian with fractional orders Authors:Sahel Ashhab View a PDF of the paper titled Fractional squeezing: spectra and dynamics from generalized squeezing Hamiltonian with fractional orders, by Sahel Ashhab View PDF HTML (experimental) Abstract:We generalize the generalized-squeezing problem to include fractional values of the squeezing order $n$. This approach allows us to determine the locations of critical points at which qualitative changes in behaviour occur and accurately predict the behaviour at these critical points, which are challenging for conventional computational methods. Based on our numerical calculations, we identify with a high degree of confidence the point at which the spectrum turns from continuous to discrete and the point at which oscillations turn from having asymptotically infinite amplitudes to finite amplitudes. Furthermore, we numerically investigate the behaviour in the large $n$ regime and provide an intuitive explanation that coincides with the numerical results. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.15693 [quant-ph] (or arXiv:2601.15693v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.15693 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Sahel Ashhab [view email] [v1] Thu, 22 Jan 2026 06:31:04 UTC (1,697 KB) Full-text links: Access Paper: View a PDF of the paper titled Fractional squeezing: spectra and dynamics from generalized squeezing Hamiltonian with fractional orders, by Sahel AshhabView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 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?)