Superpositions of SU(3) coherent states via a nonlinear evolution

K. Nemoto, B. C. Sanders

Research output: Contribution to journalArticle

19 Citations (Scopus)

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 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.
Original languageEnglish
Pages (from-to)2051-2062
Number of pages12
JournalJournal of Physics A: Mathematical and Theoretical
Volume34
Issue number10
DOIs
Publication statusPublished - 2001

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