{"conference":{"name":"QMath: Mathematical Results in Quantum Physics"},"title":"Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases","doi":"10.1142/9789812832382_0017","month":"12","publisher":"World Scientific Publishing","author":[{"full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":0,"day":"30","_id":"2332","abstract":[{"lang":"eng","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."}],"oa":1,"date_created":"2018-12-11T11:57:02Z","page":"241 - 254","type":"conference","publist_id":"4594","main_file_link":[{"url":"http://arxiv.org/abs/0801.0427","open_access":"1"}],"date_published":"2008-12-30T00:00:00Z","citation":{"chicago":"Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. <a href=\"https://doi.org/10.1142/9789812832382_0017\">https://doi.org/10.1142/9789812832382_0017</a>.","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.","mla":"Seiringer, Robert. <i>Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases</i>. World Scientific Publishing, 2008, pp. 241–54, doi:<a href=\"https://doi.org/10.1142/9789812832382_0017\">10.1142/9789812832382_0017</a>.","short":"R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.","ista":"Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.","ama":"Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. In: World Scientific Publishing; 2008:241-254. doi:<a href=\"https://doi.org/10.1142/9789812832382_0017\">10.1142/9789812832382_0017</a>","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. <a href=\"https://doi.org/10.1142/9789812832382_0017\">https://doi.org/10.1142/9789812832382_0017</a>"},"year":"2008","extern":1,"status":"public","publication_status":"published","date_updated":"2021-01-12T06:56:50Z"}