[{"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","oa":1,"citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” *Communications in Mathematical Physics*, 2019. https://doi.org/10.1007/s00220-019-03505-5.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics (2019).","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. *Communications in Mathematical Physics*. 2019. doi:10.1007/s00220-019-03505-5","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2019). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. *Communications in Mathematical Physics*. https://doi.org/10.1007/s00220-019-03505-5","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” *Communications in Mathematical Physics*, 2019.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2019. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics.","mla":"Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” *Communications in Mathematical Physics*, Springer, 2019, doi:10.1007/s00220-019-03505-5."},"title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","date_published":"2019-07-13T00:00:00Z","doi":"10.1007/s00220-019-03505-5","status":"public","cc_license":"'https://creativecommons.org/licenses/by/4.0/'","oa_version":"Published Version","external_id":{"arxiv":["1809.01902"]},"month":"07","abstract":[{"lang":"eng","text":"While Hartree–Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In this paper we start from the Hartree–Fock state given by plane waves and introduce collective particle–hole pair excitations. These pairs can be approximately described by a bosonic quadratic Hamiltonian. We use Bogoliubov theory to construct a trial state yielding a rigorous Gell-Mann–Brueckner–type upper bound to the ground state energy. Our result justifies the random-phase approximation in the mean-field scaling regime, for repulsive, regular interaction potentials.\r\n"}],"date_updated":"2019-08-02T12:39:24Z","file":[{"file_id":"6668","date_updated":"2019-07-24T07:19:10Z","relation":"main_file","access_level":"open_access","date_created":"2019-07-24T07:19:10Z","creator":"dernst","file_size":853289,"open_access":1,"success":1,"file_name":"2019_CommMathPhysics_Benedikter.pdf","content_type":"application/pdf"}],"publication_status":"epub_ahead","publication":"Communications in Mathematical Physics","date_created":"2019-07-18T13:30:04Z","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"article_type":"original","type":"journal_article","publisher":"Springer","accept":"1","day":"13","quality_controlled":"1","year":"2019","file_date_updated":"2019-07-24T07:19:10Z","language":[{"iso":"eng"}],"_id":"6649","department":[{"_id":"RoSe"}],"ddc":["530"],"author":[{"full_name":"Benedikter, Niels P","first_name":"Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","last_name":"Benedikter"},{"full_name":"Nam, Phan Thành","first_name":"Phan Thành","last_name":"Nam"},{"last_name":"Porta","full_name":"Porta, Marcello","first_name":"Marcello"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"},{"first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}]}]