{"date_updated":"2021-01-12T06:56:50Z","date_created":"2018-12-11T11:57:02Z","author":[{"full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"title":"Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases","_id":"2332","day":"30","year":"2008","page":"241 - 254","doi":"10.1142/9789812832382_0017","quality_controlled":0,"publication_status":"published","publist_id":"4594","type":"conference","citation":{"ista":"Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.","mla":"Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.","ama":"Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. In: World Scientific Publishing; 2008:241-254. doi:10.1142/9789812832382_0017","chicago":"Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.","apa":"Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0017","ieee":"R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 241–254.","short":"R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254."},"publisher":"World Scientific Publishing","month":"12","main_file_link":[{"url":"http://arxiv.org/abs/0801.0427","open_access":"1"}],"extern":1,"date_published":"2008-12-30T00:00:00Z","conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"abstract":[{"text":"We present a rigorous proof of the appearance of quantized vortices in dilute trapped Bose gases with repulsive two-body interactions subject to rotation, which was obtained recently in joint work with Elliott Lieb.14 Starting from the many-body Schrödinger equation, we show that the ground state of such gases is, in a suitable limit, well described by the nonlinear Gross-Pitaevskii equation. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state.","lang":"eng"}],"status":"public","oa":1}