 | Seminario Matematico e Fisico di Milano |
| Dmitry Pelinovsky
McMaster University
BIFURCATIONS OF MULTI-VORTEX CONFIGURATIONS IN ROTATING BOSE-EINSTEIN CONDENSATE
Lunedì 26 Giugno 2017, ore 16:00
Sala di Rappresentanza, Dipartimento di Matematica, Via Saldini 50 |
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Abstract
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Global bifurcations along the family of radially symmetric vortices are analyzed for the Gross-Pitaevskii equation with a symmetric harmonic potential and a chemical potential under the steady rotation. The families are constructed in the small-amplitude limit when the chemical potential is close to an eigenvalue of the Schrodinger operator for a quantum harmonic oscillator. Each bifurcation results in the disappearance of a pair of negative eigenvalues in the Hessian operator at the radially symmetric vortex. The distributions of vortices in the bifurcating families are analyzed by using symmetries of the Gross-Pitaevskii equation and the zeros of Hermite-Gauss eigenfunctions. The vortex configurations that can be found in the bifurcating families are the asymmetric vortex, the asymmetric vortex pair, and the vortex polygons. |
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