Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
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Quantum Physics arXiv:2606.04062 (quant-ph) [Submitted on 2 Jun 2026] Title:Out-of-time-order correlators for Swanson Hamiltonian with interaction terms Authors:M.W. AlMasri, Marta Reboiro View a PDF of the paper titled Out-of-time-order correlators for Swanson Hamiltonian with interaction terms, by M.W. AlMasri and 1 other authors View PDF HTML (experimental) Abstract:In this work, we compute the out-of-time-ordered correlator (OTOC) for canonical position and momentum operators across a hierarchy of non-Hermitian oscillator models: the exactly solvable Swanson Hamiltonian, its Kerr-nonlinear extension, and parametrically driven variants. By employing the biorthogonal formalism required for parity-time symmetric quantum mechanics, we evaluate OTOCs both at zero and finite temperature, distinguishing behavior in the unbroken (real-spectrum) and broken (complex-spectrum) phases. Our analysis reveals how integrability, nonlinearity, driving, and parity-time symmetry breaking shape the temporal growth of operator correlations -- providing a clear benchmark for OTOC dynamics in non-Hermitian quadratic and weakly anharmonic systems. We further characterize critical scaling of the OTOC near the exceptional point and discuss experimental perspectives for observing these effects in photonic, circuit-QED, and trapped-ion platforms. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.04062 [quant-ph] (or arXiv:2606.04062v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.04062 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Phys. Rev. A 113, 062205 (2026) Related DOI: https://doi.org/10.1103/tbjm-b9hq Focus to learn more DOI(s) linking to related resources Submission history From: Mohammad Walid AlMasri [view email] [v1] Tue, 2 Jun 2026 12:47:13 UTC (425 KB) Full-text links: Access Paper: View a PDF of the paper titled Out-of-time-order correlators for Swanson Hamiltonian with interaction terms, by M.W. AlMasri and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?)