Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892754 | Journal of Geometry and Physics | 2015 | 27 Pages |
Abstract
We study the symplectic geometry of the Jaynes-Cummings-Gaudin model with n=2mâ1 spins. We show that there are focus-focus singularities of maximal Williamson type (0,0,m). We construct the linearized normal flows in the vicinity of such a point and show that soliton type solutions extend them globally on the critical torus. This allows us to compute the leading term in the Taylor expansion of the symplectic invariants and the monodromy associated to this singularity.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
O. Babelon, B. Douçot,