{"department":[{"_id":"RoSe"}],"oa":1,"abstract":[{"lang":"eng","text":"We study the time-dependent Bogoliubov–de-Gennes equations for generic translation-invariant fermionic many-body systems. For initial states that are close to thermal equilibrium states at temperatures near the critical temperature, we show that the magnitude of the order parameter stays approximately constant in time and, in particular, does not follow a time-dependent Ginzburg–Landau equation, which is often employed as a phenomenological description and predicts a decay of the order parameter in time. The full non-linear structure of the equations is necessary to understand this behavior."}],"date_published":"2016-07-01T00:00:00Z","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","publist_id":"5785","file":[{"file_id":"5181","access_level":"open_access","date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-12T10:15:57Z","file_size":458968,"creator":"system","checksum":"fb404923d8ca9a1faeb949561f26cbea","relation":"main_file","file_name":"IST-2016-591-v1+1_s11005-016-0847-5.pdf","content_type":"application/pdf"}],"publisher":"Springer","page":"913 - 923","issue":"7","day":"01","project":[{"call_identifier":"FWF","grant_number":"P27533_N27","_id":"25C878CE-B435-11E9-9278-68D0E5697425","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"intvolume":"       106","pubrep_id":"591","file_date_updated":"2020-07-14T12:44:53Z","date_created":"2018-12-11T11:51:56Z","language":[{"iso":"eng"}],"article_processing_charge":"Yes (via OA deal)","title":"Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations","status":"public","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). ","publication_status":"published","ddc":["510","530"],"volume":106,"scopus_import":1,"publication":"Letters in Mathematical Physics","month":"07","citation":{"chicago":"Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” <i>Letters in Mathematical Physics</i>. Springer, 2016. <a href=\"https://doi.org/10.1007/s11005-016-0847-5\">https://doi.org/10.1007/s11005-016-0847-5</a>.","ama":"Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. <i>Letters in Mathematical Physics</i>. 2016;106(7):913-923. doi:<a href=\"https://doi.org/10.1007/s11005-016-0847-5\">10.1007/s11005-016-0847-5</a>","apa":"Frank, R., Hainzl, C., Schlein, B., &#38; Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-016-0847-5\">https://doi.org/10.1007/s11005-016-0847-5</a>","short":"R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.","ieee":"R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” <i>Letters in Mathematical Physics</i>, vol. 106, no. 7. Springer, pp. 913–923, 2016.","ista":"Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923.","mla":"Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” <i>Letters in Mathematical Physics</i>, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:<a href=\"https://doi.org/10.1007/s11005-016-0847-5\">10.1007/s11005-016-0847-5</a>."},"year":"2016","_id":"1422","quality_controlled":"1","doi":"10.1007/s11005-016-0847-5","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert"},{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"last_name":"Schlein","first_name":"Benjamin","full_name":"Schlein, Benjamin"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Seiringer, Robert"}],"has_accepted_license":"1","date_updated":"2021-01-12T06:50:38Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}