2003/12/16 by Jérôme Dorignac, J. Dorignac, J. C. Eilbeck +4
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Strong Light-Matter Interactions #cond-mat.soft #nlin.PS #quant-ph
paper · pdf · doi:10.1103/physrevlett.93.025504
published as Phys Rev Letts. 93, 025504 (2004) · 4 pages, 4 figs
arxiv created 2003/12/16 · openalex publication_date 2004/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The spectrum of the quantum discrete nonlinear Schrödinger equation, or boson Hubbard Hamiltonian, on a periodic 1D lattice shows some interesting detailed band structure, which may be interpreted as the quantum signature of a two-breather interaction in the classical case. This fine structure is studied using degenerate perturbation theory. We also present a modification to this model, which increases the mobility of bound states.