{"_id":"5794","day":"17","scopus_import":"1","title":"Quantum groups as hidden symmetries of quantum impurities","date_published":"2018-12-17T00:00:00Z","oa_version":"Preprint","author":[{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5973-0874","first_name":"Enderalp","last_name":"Yakaboylu","full_name":"Yakaboylu, Enderalp"},{"full_name":"Shkolnikov, Mikhail","last_name":"Shkolnikov","first_name":"Mikhail","orcid":"0000-0002-4310-178X","id":"35084A62-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Lemeshko, Mikhail","last_name":"Lemeshko","first_name":"Mikhail","orcid":"0000-0002-6990-7802","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"}],"abstract":[{"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.","lang":"eng"}],"citation":{"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.","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>","short":"E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).","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>.","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>.","ista":"Yakaboylu E, Shkolnikov M, Lemeshko M. 2018. Quantum groups as hidden symmetries of quantum impurities. Physical Review Letters. 121(25), 255302.","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>"},"language":[{"iso":"eng"}],"month":"12","year":"2018","project":[{"call_identifier":"FP7","grant_number":"291734","name":"International IST Postdoc Fellowship Programme","_id":"25681D80-B435-11E9-9278-68D0E5697425"},{"call_identifier":"FWF","_id":"26031614-B435-11E9-9278-68D0E5697425","grant_number":"P29902","name":"Quantum rotations in the presence of a many-body environment"}],"publication_status":"published","publication":"Physical Review Letters","intvolume":"       121","status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","article_type":"original","article_number":"255302","doi":"10.1103/PhysRevLett.121.255302","issue":"25","volume":121,"type":"journal_article","article_processing_charge":"No","quality_controlled":"1","department":[{"_id":"MiLe"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.00222"}],"publication_identifier":{"issn":["00319007"]},"ec_funded":1,"oa":1,"isi":1,"date_updated":"2023-09-15T12:09:06Z","publisher":"American Physical Society","date_created":"2019-01-06T22:59:12Z","external_id":{"isi":["000454178600009"],"arxiv":["1809.00222"]}}