Three-dimensional solitons in cross-combined linear and nonlinear optical lattices
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
07/11/2013
07/11/2013
2012
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Resumo |
The existence and stability of three-dimensional (3D) solitons, in cross-combined linear and nonlinear optical lattices, are investigated. In particular, with a starting optical lattice (OL) configuration such that it is linear in the x-direction and nonlinear in the y-direction, we consider the z-direction either unconstrained (quasi-2D OL case) or with another linear OL (full 3D case). We perform this study both analytically and numerically: analytically by a variational approach based on a Gaussian ansatz for the soliton wavefunction and numerically by relaxation methods and direct integrations of the corresponding Gross-Pitaevskii equation. We conclude that, while 3D solitons in the quasi-2D OL case are always unstable, the addition of another linear OL in the z-direction allows us to stabilize 3D solitons both for attractive and repulsive mean interactions. From our results, we suggest the possible use of spatial modulations of the nonlinearity in one of the directions as a tool for the management of stable 3D solitons. European Community Framework Programme European Community Framework Programme [PIIF-GA-2009-236099] Fundacao de Amparo a Pesquisa de Sao Paulo (FAPESP) Fundacao de Amparo a Pesquisa de Sao Paulo (FAPESP) Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) Ministero dell Istruzione, dell Universita e della Ricerca (MIUR) through Programma di Ricerca Scientifica di Rilevante Interesse Nazionale (PRIN) initiative Ministero dell' Istruzione, dell' Universita e della Ricerca (MIUR) through Programma di Ricerca Scientifica di Rilevante Interesse Nazionale (PRIN) initiative |
Identificador |
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, BRISTOL, v. 45, n. 11, supl. 1, Part 2, pp. 28169-28179, 41791, 2012 0953-4075 http://www.producao.usp.br/handle/BDPI/43187 10.1088/0953-4075/45/11/115302 |
Idioma(s) |
eng |
Publicador |
IOP PUBLISHING LTD BRISTOL |
Relação |
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS |
Direitos |
restrictedAccess Copyright IOP PUBLISHING LTD |
Palavras-Chave | #BOSE-EINSTEIN CONDENSATE #MATTER WAVES #FESHBACH RESONANCES #SCATTERING LENGTH #LIGHT BULLETS #DYNAMICS #STATES #RB-85 #OPTICS #PHYSICS, ATOMIC, MOLECULAR & CHEMICAL |
Tipo |
article original article publishedVersion |