We show that a nonlinear Hamiltonian evolution can transform an SU(3) coherent state into a superposition of distinct SU(3) coherent states, with a superposition of two SU(2) coherent states presented as a special case. A phase-space representation is depicted by projecting the multi-dimensional Q-symbol for the state to a spherical subdomain of the coset space. We discuss realizations of this nonlinear evolution in the contexts of nonlinear optics and Bose-Einstein condensates.
|Number of pages||12|
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 2001|