Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials
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Quantum Physics arXiv:2601.11256 (quant-ph) [Submitted on 16 Jan 2026] Title:Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials Authors:Fernando C. Lombardo, Francisco D. Mazzitelli View a PDF of the paper titled Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials, by Fernando C. Lombardo and Francisco D. Mazzitelli View PDF HTML (experimental) Abstract:We analyze shortcuts to adiabaticity (STA) and their completions for the quantum harmonic oscillator (QHO) with time-dependent frequency, as well as for quantum field theory (QFT) in non-stationary backgrounds. We exploit the analogy with one-dimensional quantum mechanics, and the well known correspondence between Bogoliubov coefficients in the QHO and transmission/reflection amplitudes in scattering theory. Within this framework, STA protocols for the QHO are equivalent to transmission resonances, while STA in QFT with homogeneous backgrounds correspond to reflectionless potentials. Moreover, using the connection between particle creation and squeezed states, we show how STA completions can be understood in terms of the anti-squeezing operator. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.11256 [quant-ph] (or arXiv:2601.11256v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.11256 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Physics 2026, 8(1) (Special Issue: A Themed Issue in Honor of Professor Viktor Dodonov, 55 Years in Quantum Physics) Related DOI: https://doi.org/10.3390/physics8010010 Focus to learn more DOI(s) linking to related resources Submission history From: Francisco Diego Mazzitelli [view email] [v1] Fri, 16 Jan 2026 13:02:37 UTC (49 KB) Full-text links: Access Paper: View a PDF of the paper titled Shortcuts to adiabaticity, unexciting backgrounds, and reflectionless potentials, by Fernando C. Lombardo and Francisco D. MazzitelliView 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?)