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