{"publication":"Journal of Mathematical Physics","_id":"12184","date_updated":"2023-08-04T09:14:57Z","article_number":"121101","acknowledgement":"It is a pleasure to thank Stefan Teufel for numerous interesting discussions, fruitful collaboration, and many helpful comments on an earlier version of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges financial support from the DFG research unit FOR 5413 “Long-range interacting quantum spin systems out of equilibrium: Experiment, Theory and Mathematics.\" ","file":[{"relation":"main_file","file_id":"12410","file_name":"2022_JourMathPhysics_Henheik2.pdf","access_level":"open_access","creator":"dernst","checksum":"213b93750080460718c050e4967cfdb4","date_updated":"2023-01-27T07:10:52Z","content_type":"application/pdf","date_created":"2023-01-27T07:10:52Z","file_size":5251092,"success":1}],"issue":"12","doi":"10.1063/5.0123441","external_id":{"arxiv":["2208.12220"],"isi":["000905776200001"]},"publication_status":"published","language":[{"iso":"eng"}],"oa":1,"year":"2022","volume":63,"publisher":"AIP Publishing","day":"01","abstract":[{"text":"We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic theorems for extended but finite and infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this Review is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs.","lang":"eng"}],"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"}],"scopus_import":"1","quality_controlled":"1","department":[{"_id":"LaEr"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"isi":1,"author":[{"first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","last_name":"Henheik"},{"last_name":"Wessel","full_name":"Wessel, Tom","first_name":"Tom"}],"intvolume":"        63","citation":{"ista":"Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 63(12), 121101.","ama":"Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems. <i>Journal of Mathematical Physics</i>. 2022;63(12). doi:<a href=\"https://doi.org/10.1063/5.0123441\">10.1063/5.0123441</a>","short":"S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).","chicago":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0123441\">https://doi.org/10.1063/5.0123441</a>.","mla":"Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12, 121101, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0123441\">10.1063/5.0123441</a>.","apa":"Henheik, S. J., &#38; Wessel, T. (2022). On adiabatic theory for extended fermionic lattice systems. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0123441\">https://doi.org/10.1063/5.0123441</a>","ieee":"S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice systems,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12. AIP Publishing, 2022."},"ddc":["510"],"ec_funded":1,"status":"public","title":"On adiabatic theory for extended fermionic lattice systems","date_created":"2023-01-15T23:00:52Z","oa_version":"Published Version","date_published":"2022-12-01T00:00:00Z","file_date_updated":"2023-01-27T07:10:52Z","has_accepted_license":"1","article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","article_type":"original","type":"journal_article","publication_identifier":{"issn":["0022-2488"]},"month":"12"}