Topological quantum slinky motion in resonant extended Bose-Hubbard model

[2410.13252] Topological quantum slinky motion in resonant extended Bose-Hubbard model Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2410.13252 (quant-ph) [Submitted on 17 Oct 2024] Title: Topological quantum slinky motion in resonant extended Bose-Hubbard model Authors: H. P. Zhang , Z. Song View a PDF of the paper titled Topological quantum slinky motion in resonant extended Bose-Hubbard model, by H. P. Zhang and Z. Song View PDF HTML (experimental) Abstract: We study the one-dimensional Bose-Hubbard model under the resonant condition, where a series of quantum slinky oscillations occur in a two-site system for boson numbers $n\in \lbrack 2,\infty )$. In the strong interaction limit, it can be shown that the quantum slinky motions become the dominant channels for boson propagation, which are described by a set of effective non-interacting Hamiltonians. They are sets of generalized Su-Schrieffer-Heeger chains with an $n$-site unit cell, referred to as trimerization, tetramerization, and pentamerization, etc., possessing non-trivial Zak phases. The corresponding edge states are demonstrated by the $n$-boson bound states at the ends of the chains. We also investigate the dynamic detection of edge boson clusters through an analysis of quench dynamics. Numerical results indicate that stable edge oscillations clearly manifest the interaction-induced topological features within the extended Bose-Hubbard model. Comments: 10 pages, 4 figures Subjects: Quantum Physics (quant-ph) ; Strongly Correlated Electrons (cond-mat.str-el) Cite as: arXiv:2410.13252 [quant-ph] (or arXiv:2410.13252v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2410.13252 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1103/PhysRevB.111.235101 Focus to learn more DOI(s) linking to related resources Submission history From: HongPeng Zhang [ view email ] [v1] Thu, 17 Oct 2024 06:20:09 UTC (5,325 KB) Full-text links: Access Paper: View a PDF of the paper titled Topological quantum slinky motion in resonant extended Bose-Hubbard model, by H. P. Zhang and Z. Song View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2024-10 Change to browse by: cond-mat cond-mat.str-el 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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