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arXiv · 0801.0427

Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases

Robert Seiringer
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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. 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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Robert Seiringer. 2008-01-02. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. https://doi.org/10.1142/9789812832382_0017

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