Physics – Mathematical Physics
Scientific paper
2008-01-02
Physics
Mathematical Physics
Plenary talk given at QMath10, Moeciu, Romania, September 10-15, 2007
Scientific paper
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. Starting from the many-body Schroedinger 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.
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