Compactons of nonlinear Schr¨odinger lattices under strong nonlinearity management

Salerno, Mario (2015) Compactons of nonlinear Schr¨odinger lattices under strong nonlinearity management. Il nuovo cimento C, 38 (5). pp. 1-6. ISSN 1826-9885

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Abstract

We review recent work on compacton matter waves in Bose-Einstein condensates (BEC) trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length. In particular, we derive averaged discrete nonlinear Schr¨odinger equations (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are also investigated both by linear analysis and by direct numerical integrations of the DNLSE.

Item Type: Article
Uncontrolled Keywords: Nonlinear optics; Propagation, scattering, and losses; solitons; Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 23 Jun 2020 09:05
Last Modified: 23 Jun 2020 09:05
URI: http://eprints.bice.rm.cnr.it/id/eprint/19159

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