{"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"}],"publication_status":"published","month":"08","file":[{"checksum":"e6fb0cf3f0327739c5e69a2cfc4020eb","content_type":"application/pdf","file_id":"12089","success":1,"date_created":"2022-09-12T07:35:34Z","date_updated":"2022-09-12T07:35:34Z","access_level":"open_access","creator":"dernst","file_size":4552261,"file_name":"2022_JourMathPhysics_Rademacher.pdf","relation":"main_file"}],"scopus_import":"1","oa_version":"Published Version","article_number":"081902","publication_identifier":{"issn":["0022-2488"]},"year":"2022","volume":63,"language":[{"iso":"eng"}],"issue":"8","date_created":"2022-09-11T22:01:56Z","date_updated":"2023-08-03T13:57:19Z","author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","last_name":"Rademacher"}],"publication":"Journal of Mathematical Physics","department":[{"_id":"RoSe"}],"acknowledgement":"S.R. would like to thank Robert Seiringer and Benedikt Stufler for helpful discussions. Funding from the European Union’s Horizon 2020 Research and Innovation Program under the ERC grant (Grant Agreement No. 694227) and under the Marie Skłodowska-Curie grant (Agreement No. 754411) is acknowledged.","_id":"12083","status":"public","date_published":"2022-08-25T00:00:00Z","external_id":{"isi":["000844402500001"],"arxiv":["2112.04817"]},"article_processing_charge":"No","doi":"10.1063/5.0086712","ec_funded":1,"citation":{"chicago":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2022. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>.","ama":"Rademacher SAE. Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. 2022;63(8). doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>","ieee":"S. A. E. Rademacher, “Dependent random variables in quantum dynamics,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8. AIP Publishing, 2022.","mla":"Rademacher, Simone Anna Elvira. “Dependent Random Variables in Quantum Dynamics.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 8, 081902, AIP Publishing, 2022, doi:<a href=\"https://doi.org/10.1063/5.0086712\">10.1063/5.0086712</a>.","ista":"Rademacher SAE. 2022. Dependent random variables in quantum dynamics. Journal of Mathematical Physics. 63(8), 081902.","short":"S.A.E. Rademacher, Journal of Mathematical Physics 63 (2022).","apa":"Rademacher, S. A. E. (2022). Dependent random variables in quantum dynamics. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0086712\">https://doi.org/10.1063/5.0086712</a>"},"article_type":"original","quality_controlled":"1","oa":1,"title":"Dependent random variables in quantum dynamics","ddc":["510"],"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)"},"intvolume":"        63","publisher":"AIP Publishing","type":"journal_article","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file_date_updated":"2022-09-12T07:35:34Z","day":"25","has_accepted_license":"1","abstract":[{"lang":"eng","text":"We consider the many-body time evolution of weakly interacting bosons in the mean field regime for initial coherent states. We show that bounded k-particle operators, corresponding to dependent random variables, satisfy both a law of large numbers and a central limit theorem."}],"isi":1}