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This brings robustness to the behaviour of the system and can serve as a ground for developing new fault-tolerant applications. We discuss how to design and study a large variety of topology-related phenomena for phonon-like collective modes in arrays of ultracold polarized dipolar particles. These modes are coherently propagating vibrational excitations, corresponding to oscillations of particles around their equilibrium positions, which exist in the regime where long-range interactions dominate over single-particle motion. We demonstrate that such systems offer a distinct and versatile tool to investigate a wide range of topological effects in a<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mtext class=\"MJX-tex-mathit\" mathvariant=\"italic\">single experimental setup<\/mml:mtext><\/mml:mrow><\/mml:math>with a chosen underlying crystal structure by simply controlling the anisotropy of the interactions via the orientation of the external polarizing field. Our results show that arrays of dipolar particles provide a promising unifying platform to investigate topological phenomena with phononic modes.<\/jats:p>","DOI":"10.22331\/q-2022-06-07-731","type":"journal-article","created":{"date-parts":[[2022,6,7]],"date-time":"2022-06-07T16:28:57Z","timestamp":1654619337000},"page":"731","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":7,"title":["Topological phonons in arrays of ultracold dipolar particles"],"prefix":"10.22331","volume":"6","author":[{"given":"Marco","family":"Di Liberto","sequence":"first","affiliation":[{"name":"Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria"},{"name":"Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andreas","family":"Kruckenhauser","sequence":"additional","affiliation":[{"name":"Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria"},{"name":"Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Zoller","sequence":"additional","affiliation":[{"name":"Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria"},{"name":"Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mikhail A.","family":"Baranov","sequence":"additional","affiliation":[{"name":"Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria"},{"name":"Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2022,6,7]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"M. 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