@inproceedings{2332, abstract = {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.}, author = {Robert Seiringer}, pages = {241 -- 254}, publisher = {World Scientific Publishing}, title = {{Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases}}, doi = {10.1142/9789812832382_0017}, year = {2008}, }