[{"issue":"4","volume":9,"publication_status":"published","publication_identifier":{"eissn":["2218-2004"]},"language":[{"iso":"eng"}],"file":[{"date_updated":"2022-01-03T10:15:05Z","file_size":303070,"creator":"alisjak","date_created":"2022-01-03T10:15:05Z","file_name":"2021_Atoms_Brooks.pdf","content_type":"application/pdf","access_level":"open_access","relation":"main_file","checksum":"d0e44b95f36c9e06724f66832af0f8c3","file_id":"10592","success":1}],"scopus_import":"1","intvolume":" 9","month":"12","abstract":[{"text":"Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorously demonstrate that in the experimentally realized regime the lowest spectrum of two linear molecules immersed in superfluid helium corresponds to the spectrum of two anyons on the sphere. We develop the formalism within the framework of the recently experimentally observed angulon quasiparticle","lang":"eng"}],"oa_version":"Published Version","file_date_updated":"2022-01-03T10:15:05Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_updated":"2023-06-15T14:51:49Z","ddc":["530"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","keyword":["anyons","quasiparticles","Quantum Hall Effect","topological states of matter"],"status":"public","_id":"10585","date_created":"2022-01-02T23:01:33Z","date_published":"2021-12-02T00:00:00Z","doi":"10.3390/atoms9040106","year":"2021","has_accepted_license":"1","publication":"Atoms","day":"02","oa":1,"publisher":"MDPI","quality_controlled":"1","acknowledgement":"D. Lundholm acknowledges financial support from the Göran Gustafsson Foundation (grant no. 1804).","article_processing_charge":"Yes","external_id":{"arxiv":["2108.06966"]},"author":[{"last_name":"Brooks","orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris"},{"id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail","last_name":"Lemeshko"},{"full_name":"Lundholm, Douglas","last_name":"Lundholm","first_name":"Douglas"},{"orcid":"0000-0001-5973-0874","full_name":"Yakaboylu, Enderalp","last_name":"Yakaboylu","first_name":"Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87"}],"title":"Emergence of anyons on the two-sphere in molecular impurities","citation":{"chicago":"Brooks, Morris, Mikhail Lemeshko, Douglas Lundholm, and Enderalp Yakaboylu. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms. MDPI, 2021. https://doi.org/10.3390/atoms9040106.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 9(4), 106.","mla":"Brooks, Morris, et al. “Emergence of Anyons on the Two-Sphere in Molecular Impurities.” Atoms, vol. 9, no. 4, 106, MDPI, 2021, doi:10.3390/atoms9040106.","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Emergence of anyons on the two-sphere in molecular impurities. Atoms. 2021;9(4). doi:10.3390/atoms9040106","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Emergence of anyons on the two-sphere in molecular impurities. Atoms. MDPI. https://doi.org/10.3390/atoms9040106","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Emergence of anyons on the two-sphere in molecular impurities,” Atoms, vol. 9, no. 4. MDPI, 2021.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Atoms 9 (2021)."},"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","article_number":"106"},{"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2001.00497"}],"scopus_import":"1","intvolume":" 33","month":"01","abstract":[{"text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein.","lang":"eng"}],"oa_version":"Preprint","ec_funded":1,"volume":33,"issue":"1","publication_status":"published","publication_identifier":{"issn":["0129-055X"]},"language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","status":"public","_id":"7685","department":[{"_id":"RoSe"}],"date_updated":"2023-08-04T10:50:13Z","oa":1,"quality_controlled":"1","publisher":"World Scientific","date_created":"2020-04-26T22:00:45Z","date_published":"2021-01-01T00:00:00Z","doi":"10.1142/S0129055X20600065","year":"2021","isi":1,"publication":"Reviews in Mathematical Physics","day":"01","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"article_number":"2060006","article_processing_charge":"No","external_id":{"arxiv":["2001.00497"],"isi":["000613313200007"]},"author":[{"first_name":"Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato","full_name":"Boccato, Chiara"}],"title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","citation":{"chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/S0129055X20600065.","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060006, World Scientific, 2021, doi:10.1142/S0129055X20600065.","ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/S0129055X20600065","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/S0129055X20600065","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021)."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8"},{"has_accepted_license":"1","isi":1,"year":"2021","day":"01","publication":"Communications on Pure and Applied Mathematics","page":"544-588","date_published":"2021-03-01T00:00:00Z","doi":"10.1002/cpa.21944","date_created":"2020-10-04T22:01:37Z","acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","quality_controlled":"1","publisher":"Wiley","oa":1,"citation":{"chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics. Wiley, 2021. https://doi.org/10.1002/cpa.21944.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.","apa":"Frank, R., & Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21944","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 2021;74(3):544-588. doi:10.1002/cpa.21944","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588.","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” Communications on Pure and Applied Mathematics, vol. 74, no. 3. Wiley, pp. 544–588, 2021."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"first_name":"Rupert","full_name":"Frank, Rupert","last_name":"Frank"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"external_id":{"isi":["000572991500001"]},"article_processing_charge":"No","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication_identifier":{"eissn":["10970312"],"issn":["00103640"]},"publication_status":"published","file":[{"file_id":"9236","checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2021-03-11T10:03:30Z","file_name":"2021_CommPureApplMath_Frank.pdf","date_updated":"2021-03-11T10:03:30Z","file_size":334987,"creator":"dernst"}],"language":[{"iso":"eng"}],"issue":"3","volume":74,"ec_funded":1,"abstract":[{"lang":"eng","text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem."}],"oa_version":"Published Version","scopus_import":"1","month":"03","intvolume":" 74","date_updated":"2023-08-04T11:02:16Z","ddc":["510"],"file_date_updated":"2021-03-11T10:03:30Z","department":[{"_id":"RoSe"}],"_id":"8603","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public"},{"acknowledgement":"We are grateful to A. Ghazaryan for valuable discussions and also thank the anonymous referees for comments. D.L. acknowledges financial support from the G¨oran Gustafsson Foundation (grant no. 1804) and LMU Munich. M.L. gratefully acknowledges financial support\r\nby the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 801770).","publisher":"American Physical Society","quality_controlled":"1","oa":1,"isi":1,"year":"2021","day":"08","publication":"Physical Review Letters","date_published":"2021-01-08T00:00:00Z","doi":"10.1103/PhysRevLett.126.015301","date_created":"2021-01-17T23:01:10Z","article_number":"015301","project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle","grant_number":"801770"}],"citation":{"mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:10.1103/PhysRevLett.126.015301.","short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” Physical Review Letters, vol. 126, no. 1. American Physical Society, 2021.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., & Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.126.015301","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 2021;126(1). doi:10.1103/PhysRevLett.126.015301","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.015301.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 126(1), 015301."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"orcid":"0000-0002-6249-0928","full_name":"Brooks, Morris","last_name":"Brooks","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris"},{"full_name":"Lemeshko, Mikhail","orcid":"0000-0002-6990-7802","last_name":"Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87"},{"first_name":"D.","full_name":"Lundholm, D.","last_name":"Lundholm"},{"id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","full_name":"Yakaboylu, Enderalp","orcid":"0000-0001-5973-0874","last_name":"Yakaboylu"}],"article_processing_charge":"No","external_id":{"arxiv":["2009.05948"],"isi":["000606325000003"]},"title":"Molecular impurities as a realization of anyons on the two-sphere","abstract":[{"lang":"eng","text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field."}],"oa_version":"Preprint","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/2009.05948","open_access":"1"}],"month":"01","intvolume":" 126","publication_identifier":{"eissn":["10797114"],"issn":["00319007"]},"publication_status":"published","language":[{"iso":"eng"}],"related_material":{"link":[{"url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/","relation":"press_release","description":"News on IST Homepage"}],"record":[{"id":"12390","status":"public","relation":"dissertation_contains"}]},"volume":126,"issue":"1","ec_funded":1,"_id":"9005","article_type":"original","type":"journal_article","status":"public","date_updated":"2023-08-07T13:32:10Z","department":[{"_id":"MiLe"},{"_id":"RoSe"}]},{"oa":1,"quality_controlled":"1","publisher":"Springer Nature","acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","page":"383-417","date_created":"2021-03-14T23:01:34Z","doi":"10.1007/s00205-021-01616-9","date_published":"2021-02-26T00:00:00Z","year":"2021","has_accepted_license":"1","isi":1,"publication":"Archive for Rational Mechanics and Analysis","day":"26","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"article_processing_charge":"No","external_id":{"isi":["000622226200001"],"arxiv":["2001.03993"]},"author":[{"first_name":"Nikolai K","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0495-6822","full_name":"Leopold, Nikolai K","last_name":"Leopold"},{"last_name":"Mitrouskas","full_name":"Mitrouskas, David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","citation":{"ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” Archive for Rational Mechanics and Analysis, vol. 240. Springer Nature, pp. 383–417, 2021.","short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 2021;240:383-417. doi:10.1007/s00205-021-01616-9","apa":"Leopold, N. K., Mitrouskas, D. J., & Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01616-9","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.","ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","scopus_import":"1","intvolume":" 240","month":"02","abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order."}],"oa_version":"Published Version","ec_funded":1,"volume":240,"publication_status":"published","publication_identifier":{"eissn":["14320673"],"issn":["00039527"]},"language":[{"iso":"eng"}],"file":[{"creator":"dernst","file_size":558006,"date_updated":"2021-03-22T08:31:29Z","file_name":"2021_ArchRationalMechAnal_Leopold.pdf","date_created":"2021-03-22T08:31:29Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_id":"9270","checksum":"23449e44dc5132501a5c86e70638800f"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","status":"public","_id":"9246","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-22T08:31:29Z","date_updated":"2023-08-07T14:12:27Z","ddc":["510"]}]