{"ec_funded":1,"article_number":"255302","date_updated":"2025-04-15T06:50:24Z","citation":{"chicago":"Yakaboylu, Enderalp, Mikhail Shkolnikov, and Mikhail Lemeshko. “Quantum Groups as Hidden Symmetries of Quantum Impurities.” <i>Physical Review Letters</i>. American Physical Society, 2018. <a href=\"https://doi.org/10.1103/PhysRevLett.121.255302\">https://doi.org/10.1103/PhysRevLett.121.255302</a>.","ista":"Yakaboylu E, Shkolnikov M, Lemeshko M. 2018. Quantum groups as hidden symmetries of quantum impurities. Physical Review Letters. 121(25), 255302.","mla":"Yakaboylu, Enderalp, et al. “Quantum Groups as Hidden Symmetries of Quantum Impurities.” <i>Physical Review Letters</i>, vol. 121, no. 25, 255302, American Physical Society, 2018, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.121.255302\">10.1103/PhysRevLett.121.255302</a>.","short":"E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).","apa":"Yakaboylu, E., Shkolnikov, M., &#38; Lemeshko, M. (2018). Quantum groups as hidden symmetries of quantum impurities. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.121.255302\">https://doi.org/10.1103/PhysRevLett.121.255302</a>","ama":"Yakaboylu E, Shkolnikov M, Lemeshko M. Quantum groups as hidden symmetries of quantum impurities. <i>Physical Review Letters</i>. 2018;121(25). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.121.255302\">10.1103/PhysRevLett.121.255302</a>","ieee":"E. Yakaboylu, M. Shkolnikov, and M. Lemeshko, “Quantum groups as hidden symmetries of quantum impurities,” <i>Physical Review Letters</i>, vol. 121, no. 25. American Physical Society, 2018."},"scopus_import":"1","abstract":[{"lang":"eng","text":"We present an approach to interacting quantum many-body systems based on the notion of quantum groups, also known as q-deformed Lie algebras. In particular, we show that, if the symmetry of a free quantum particle corresponds to a Lie group G, in the presence of a many-body environment this particle can be described by a deformed group, Gq. Crucially, the single deformation parameter, q, contains all the information about the many-particle interactions in the system. We exemplify our approach by considering a quantum rotor interacting with a bath of bosons, and demonstrate that extracting the value of q from closed-form solutions in the perturbative regime allows one to predict the behavior of the system for arbitrary values of the impurity-bath coupling strength, in good agreement with nonperturbative calculations. Furthermore, the value of the deformation parameter allows one to predict at which coupling strengths rotor-bath interactions result in a formation of a stable quasiparticle. The approach based on quantum groups does not only allow for a drastic simplification of impurity problems, but also provides valuable insights into hidden symmetries of interacting many-particle systems."}],"project":[{"_id":"25681D80-B435-11E9-9278-68D0E5697425","name":"International IST Postdoc Fellowship Programme","call_identifier":"FP7","grant_number":"291734"},{"name":"Quantum rotations in the presence of a many-body environment","call_identifier":"FWF","grant_number":"P29902","_id":"26031614-B435-11E9-9278-68D0E5697425"}],"quality_controlled":"1","status":"public","article_type":"original","external_id":{"isi":["000454178600009"],"arxiv":["1809.00222"]},"month":"12","volume":121,"oa":1,"date_created":"2019-01-06T22:59:12Z","department":[{"_id":"MiLe"}],"publication":"Physical Review Letters","_id":"5794","arxiv":1,"issue":"25","publication_identifier":{"issn":["00319007"]},"article_processing_charge":"No","title":"Quantum groups as hidden symmetries of quantum impurities","oa_version":"Preprint","day":"17","date_published":"2018-12-17T00:00:00Z","year":"2018","intvolume":"       121","doi":"10.1103/PhysRevLett.121.255302","publisher":"American Physical Society","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","language":[{"iso":"eng"}],"isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/1809.00222","open_access":"1"}],"type":"journal_article","publication_status":"published","author":[{"full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","first_name":"Enderalp","last_name":"Yakaboylu","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-4310-178X","full_name":"Shkolnikov, Mikhail","first_name":"Mikhail","id":"35084A62-F248-11E8-B48F-1D18A9856A87","last_name":"Shkolnikov"},{"last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","first_name":"Mikhail"}]}