Superpositions of SU(3) coherent states via a nonlinear evolution
Quantum Physics
2009-11-07 v1
Abstract
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 -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.
Cite
@article{arxiv.quant-ph/0210067,
title = {Superpositions of SU(3) coherent states via a nonlinear evolution},
author = {Kae Nemoto and Barry C. Sanders},
journal= {arXiv preprint arXiv:quant-ph/0210067},
year = {2009}
}