{"page":"1175-1194","quality_controlled":"1","scopus_import":1,"status":"public","type":"conference","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature properties of a system is the structure of the excitation spectrum, which is the part of the spectrum close to the spectral bottom. We present recent progress on this question for bosonic many-body quantum systems with weak two-body interactions. Such system are currently of great interest, due to their experimental realization in ultra-cold atomic gases. We investigate the accuracy of the Bogoliubov approximations, which predicts that the low-energy spectrum is made up of sums of elementary excitations, with linear dispersion law at low momentum. The latter property is crucial for the superfluid behavior the system.","lang":"eng"}],"year":"2014","oa_version":"Published Version","_id":"8044","date_created":"2020-06-29T07:59:35Z","oa":1,"language":[{"iso":"eng"}],"date_updated":"2021-01-12T08:16:43Z","title":"Structure of the excitation spectrum for many-body quantum systems","author":[{"last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_identifier":{"isbn":["9788961058063"]},"publication":"Proceeding of the International Congress of Mathematicans","main_file_link":[{"url":"http://www.icm2014.org/en/vod/proceedings.html","open_access":"1"}],"department":[{"_id":"RoSe"}],"month":"08","intvolume":"         3","citation":{"ama":"Seiringer R. Structure of the excitation spectrum for many-body quantum systems. In: <i>Proceeding of the International Congress of Mathematicans</i>. Vol 3. Kyung Moon SA; 2014:1175-1194.","apa":"Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum systems. In <i>Proceeding of the International Congress of Mathematicans</i> (Vol. 3, pp. 1175–1194). Seoul, South Korea: Kyung Moon SA.","ista":"Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum systems. Proceeding of the International Congress of Mathematicans. ICM: International Congress of Mathematicans vol. 3, 1175–1194.","mla":"Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” <i>Proceeding of the International Congress of Mathematicans</i>, vol. 3, Kyung Moon SA, 2014, pp. 1175–94.","chicago":"Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” In <i>Proceeding of the International Congress of Mathematicans</i>, 3:1175–94. Kyung Moon SA, 2014.","short":"R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, Kyung Moon SA, 2014, pp. 1175–1194.","ieee":"R. Seiringer, “Structure of the excitation spectrum for many-body quantum systems,” in <i>Proceeding of the International Congress of Mathematicans</i>, Seoul, South Korea, 2014, vol. 3, pp. 1175–1194."},"volume":3,"date_published":"2014-08-01T00:00:00Z","day":"01","publication_status":"published","article_processing_charge":"No","conference":{"location":"Seoul, South Korea","start_date":"2014-08-13","end_date":"2014-08-21","name":"ICM: International Congress of Mathematicans"},"publisher":"Kyung Moon SA"}