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Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is instead only partially understood how interactions affect topological properties. Here, we discuss a model where topology emerges from the quantum interference between single-particle dynamics and global interactions. The system is composed by soft-core bosons that interact via global correlated hopping in a one-dimensional lattice. The onset of quantum interference leads to spontaneous breaking of the lattice translational symmetry, the corresponding phase resembles nontrivial states of the celebrated Su-Schriefer-Heeger model. Like the fermionic Peierls instability, the emerging quantum phase is a topological insulator and is found at half fillings. Originating from quantum interference, this topological phase is found in \"exact\" density-matrix renormalization group calculations and is entirely absent in the mean-field approach. We argue that these dynamics can be realized in existing experimental platforms, such as cavity quantum electrodynamics setups, where the topological features can be revealed in the light emitted by the resonator.<\/jats:p>","DOI":"10.22331\/q-2021-07-13-501","type":"journal-article","created":{"date-parts":[[2021,7,13]],"date-time":"2021-07-13T15:33:41Z","timestamp":1626190421000},"page":"501","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":26,"title":["Self-organized topological insulator due to cavity-mediated correlated tunneling"],"prefix":"10.22331","volume":"5","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2306-7895","authenticated-orcid":false,"given":"Titas","family":"Chanda","sequence":"first","affiliation":[{"name":"Institute of Theoretical Physics, Jagiellonian University in Krak\u00f3w, \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rebecca","family":"Kraus","sequence":"additional","affiliation":[{"name":"Theoretical Physics, Saarland University, Campus E2.6, D\u201366123 Saarbr\u00fccken, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1946-3684","authenticated-orcid":false,"given":"Giovanna","family":"Morigi","sequence":"additional","affiliation":[{"name":"Theoretical Physics, Saarland University, Campus E2.6, D\u201366123 Saarbr\u00fccken, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0998-9460","authenticated-orcid":false,"given":"Jakub","family":"Zakrzewski","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, Jagiellonian University in Krak\u00f3w, \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"},{"name":"Mark Kac Complex Systems Research Center, Jagiellonian University in Krakow, \u0141ojasiewicza 11, 30-348 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2021,7,13]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"K. v. 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