[{"publication_status":"epub_ahead","file":[{"date_created":"2019-07-24T07:19:10Z","content_type":"application/pdf","relation":"main_file","file_id":"6668","success":1,"file_name":"2019_CommMathPhysics_Benedikter.pdf","access_level":"open_access","creator":"dernst","file_size":853289,"date_updated":"2019-07-24T07:19:10Z","open_access":1}],"day":"13","ddc":["530"],"accept":"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.","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.","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","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.","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."},"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"}],"oa_version":"Published Version","date_created":"2019-07-18T13:30:04Z","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","author":[{"full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091","last_name":"Benedikter","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P"},{"last_name":"Nam","first_name":"Phan Thành","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"full_name":"Seiringer, Robert","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"language":[{"iso":"eng"}],"article_type":"original","oa":1,"_id":"6649","status":"public","doi":"10.1007/s00220-019-03505-5","year":"2019","external_id":{"arxiv":["1809.01902"]},"month":"07","date_published":"2019-07-13T00:00:00Z","publisher":"Springer","type":"journal_article","department":[{"_id":"RoSe"}],"date_updated":"2019-08-02T12:39:24Z","cc_license":"'https://creativecommons.org/licenses/by/4.0/'","file_date_updated":"2019-07-24T07:19:10Z","quality_controlled":"1","title":"Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime","publication":"Communications in Mathematical Physics","publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]}}]