Volume 58, Number 1, April 2002
|Page(s)||7 - 13|
|Published online||01 August 2002|
Matter solitons in Bose-Einstein condensates with optical lattices
F. V. Lukin's Institute of Physical
Problems - Zelenograd, Moscow, 103460, Russia
2 Centro de Física da Matéria Condensada, Universidade de Lisboa Complexo Interdisciplinar - Av. Prof. Gama Pinto 2, Lisboa 1649-003, Portugal
3 Dipartimento di Fisica “E.R. Caianiello”, Università di Salerno I-84081 Baronissi (SA), Italy, and Istituto Nazionale di Fisica della Materia (INFM) Unità di Salerno, Italy
Corresponding authors: firstname.lastname@example.org email@example.com firstname.lastname@example.org
Accepted: 10 January 2002
A diversity of localised solutions of the one-dimensional nonlinear Schrödinger (NLS) equation with a periodic potential is found. Among them are bright and dark solitons and complex coupled solitary waves. These objects have been found by analysing a discrete dynamical system associated with this equation. Direct numerical integrations of the NLS system show that some of these solutions can be dynamically stable. The possibility to observe these solutions in real experiments is also briefly discussed.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena / 05.30.Jp – Boson systems / 02.30.Hq – Ordinary differential equations
© EDP Sciences, 2002
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