Nonlinearity-driven Topology via Spontaneous Symmetry Breaking

[2503.11928] Nonlinearity-driven Topology via Spontaneous Symmetry Breaking Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2503.11928 (quant-ph) [Submitted on 15 Mar 2025] Title: Nonlinearity-driven Topology via Spontaneous Symmetry Breaking Authors: Alessandro Coppo , Alexandre Le Boité , Simone Felicetti , Valentina Brosco View a PDF of the paper titled Nonlinearity-driven Topology via Spontaneous Symmetry Breaking, by Alessandro Coppo and 3 other authors View PDF HTML (experimental) Abstract: Topology and nonlinearity are deeply connected. However, whether topological effects can arise solely from the structure of nonlinear interaction terms, and the nature of the resulting topological phases, remain to large extent open questions. Here we consider a chain of parametrically-driven quantum resonators coupled only via weak nearest-neighbour cross-Kerr interaction, without any quadratic tunneling term. We show that, when the drive overcomes a critical threshold value, the system undergoes a transition from the atomic limit of decoupled oscillators to a symmetry-broken topological phase. The topology is dictated by the structure of the Kerr nonlinearity, yielding a non-trivial bulk-boundary correspondence. In the topological phase, we find different effective models for periodic and open boundary conditions and derive analytical approximations for the low-energy spectrum, identifying the conditions to observe topological edge modes. Subjects: Quantum Physics (quant-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Cite as: arXiv:2503.11928 [quant-ph] (or arXiv:2503.11928v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2503.11928 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. B 113, 155415 (2026) Related DOI : https://doi.org/10.1103/q2br-g63y Focus to learn more DOI(s) linking to related resources Submission history From: Alessandro Coppo [ view email ] [v1] Sat, 15 Mar 2025 00:20:45 UTC (2,146 KB) Full-text links: Access Paper: View a PDF of the paper titled Nonlinearity-driven Topology via Spontaneous Symmetry Breaking, by Alessandro Coppo and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2025-03 Change to browse by: cond-mat cond-mat.mes-hall References & Citations INSPIRE HEP NASA ADS Google 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? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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