Ground-state Properties of Small-Size Nonlinear Dynamical Lattices

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dc.creatorBuonsante, P.
dc.creatorKevrekidis, P.
dc.creatorPenna, V.
dc.creatorVezzani, A.
dc.date2006-04-14
dc.date.accessioned2026-07-07T07:42:33Z
dc.date.available2026-07-07T07:42:33Z
dc.descriptionWe investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the contexts of nonlinear optics of waveguide arrays, and Bose-Einstein condensates in optical lattices. We find that, in the presence of attractive interactions, the dynamical scenario relevant to the ground state and the lowest-energy modes of such few-site nonlinear lattices reveals a variety of nontrivial features that are absent in the large/infinite lattice limits: the single-pulse solution and the uniform solution are found to coexist in a finite range of the lattice intersite coupling where, depending on the latter, one of them represents the ground state; in addition, the single-pulse mode does not even exist beyond a critical parametric threshold. Finally, the onset of the ground state (modulational) instability appears to be intimately connected with a non-standard (``double transcritical'') type of bifurcation that, to the best of our knowledge, has not been reported previously in other physical systems.
dc.description7 pages, 4 figures; submitted to PRE
dc.identifierhttps://arxiv.org/abs/cond-mat/0604372
dc.identifierhttp://arxiv.org/abs/cond-mat/0604372
dc.identifierPhys. Rev. E 75, 016212 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.016212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122481
dc.subjectSoft Condensed Matter
dc.titleGround-state Properties of Small-Size Nonlinear Dynamical Lattices
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