{"language":[{"iso":"eng"}],"publisher":"International Congress of Mathematicians","quality_controlled":"1","intvolume":"         3","publication_identifier":{"isbn":["9788961058063"]},"main_file_link":[{"open_access":"1","url":"http://www.icm2014.org/en/vod/proceedings.html"}],"abstract":[{"lang":"eng","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."}],"oa":1,"year":"2014","department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"1175-1194","oa_version":"Published Version","status":"public","date_created":"2020-06-29T07:59:35Z","publication_status":"published","day":"01","publication":"Proceeding of the International Congress of Mathematicans","date_published":"2014-08-01T00:00:00Z","conference":{"end_date":"2014-08-21","start_date":"2014-08-13","name":"ICM: International Congress of Mathematicans","location":"Seoul, South Korea"},"type":"conference","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. International Congress of Mathematicians; 2014:1175-1194.","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.","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.","short":"R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 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, International Congress of Mathematicians, 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. International Congress of Mathematicians, 2014.","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: International Congress of Mathematicians."},"_id":"8044","volume":3,"month":"08","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","first_name":"Robert"}],"date_updated":"2023-10-17T11:12:33Z","title":"Structure of the excitation spectrum for many-body quantum systems","scopus_import":"1","article_processing_charge":"No"}