Issue
EPL
Volume 87, Number 2, July 2009
Article Number 20004
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/87/20004
Published online 18 August 2009
EPL, 87 (2009) 20004
DOI: 10.1209/0295-5075/87/20004

Dynamical localization of gap-solitons by time periodic forces

Yu. V. Bludov1, V. V. Konotop1, 2 and M. Salerno3

1   Centro de Física Teórica e Computacional, Universidade de Lisboa, Complexo Interdisciplinar Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal, EU
2   Departamento de Física, Faculdade de Cincias, Universidade de Lisboa - Campo Grande, Edifcio C8, Piso 6, Lisboa 1749-016, Portugal, EU
3   Dipartimento di Fisica E. R. Caianiello, and Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Università di Salerno - I-84081, Baronissi (SA), Italy, EU

bludov@cii.fc.ul.pt

received 2 February 2009; accepted in final form 17 July 2009; published July 2009
published online 18 August 2009

Abstract
The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear periodic potential we use a periodic modulation of the nonlinearity in space to eliminate nonexistence regions of gap-solitons in reciprocal space. We show that when this condition is achieved, the observation of dynamical localization in true nonlinear regime becomes possible. The results apply to all systems described by the periodic nonlinear Schrödinger equation, including Bose-Einstein condensates of ultracold atoms trapped in optical lattices and arrays of waveguides or photonic crystals in nonlinear optics.

PACS
03.75.Kk - Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow.
03.75.Lm - Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations.
67.85.Hj - Bose-Einstein condensates in optical potentials.

© EPLA 2009