Linear and Nonlinear Bullets of the Bogoliubov-de Gennes Excitations

We report on the focalization of Bogoliubov-de Gennes excitations of the nonlinear Schrödinger equation in the defocusing regime (Gross-Pitaevskii equation for repulsive Bose-Einstein condensates) with a spatially modulated periodic potential. Exploiting the modification of the dispersion relation i...

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Bibliographic Details
Published in:Physical review letters 2017-01, Vol.118 (4), p.044103-044103, Article 044103
Main Authors: Kumar, S, Perego, A M, Staliunas, K
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Física
Mathematical analysis
Modulation
Nonlinearity
Optical lattices
Projectiles
Robustness
Schroedinger equation
Schrödinger equation
Schrödinger, Equació de
Àrees temàtiques de la UPC
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Summary:We report on the focalization of Bogoliubov-de Gennes excitations of the nonlinear Schrödinger equation in the defocusing regime (Gross-Pitaevskii equation for repulsive Bose-Einstein condensates) with a spatially modulated periodic potential. Exploiting the modification of the dispersion relation induced by the modulation, we demonstrate the existence of localized structures of the Bogoliubov-de Gennes excitations, in both the linear and nonlinear regimes (linear and nonlinear "bullets"). These traveling Bogoliubov-de Gennes bullets, localized both spatially and temporally in the comoving reference frame, are robust and propagate remaining stable, without spreading or filamentation. The phenomena reported in this Letter could be observed in atomic Bose-Einstein condensates in the presence of a spatially periodic potential induced by an optical lattice.
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.118.044103