Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases

R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.


Conference Paper | Published
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.
Publishing Year
Date Published
2008-12-30
Page
241 - 254
Conference
QMath: Mathematical Results in Quantum Physics
IST-REx-ID

Cite this

Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. In: World Scientific Publishing; 2008:241-254. doi:10.1142/9789812832382_0017
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
Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.
R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 241–254.
Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics 241–254.
Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.

Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar