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Squeezing and entanglement of matter-wave gap solitons
Ray-Kuang Lee, Elena A. Ostrovskaya, Yuri S. Kivshar +1
We study quantum squeezing and entanglement of gap solitons in a Bose-Einstein condensate loaded into a one-dimensional optical lattice. By employing a linearized quantum theory we…
Coupled-mode theory for spatial gap solitons in optically-induced lattices
Boris A. Malomed, Elena A. Ostrovskaya, Yuri S. Kivshar
We develop a coupled-mode theory for spatial gap solitons in the one-dimensional photonic lattices induced by interfering optical beams in a nonlinear photorefractive crystal. We d…
Interaction of matter-wave gap solitons in optical lattices
Beata J. Dabrowska, Elena A. Ostrovskaya, Yuri S. Kivshar
We study mobility and interaction of gap solitons in a Bose-Einstein condensate (BEC) confined by an optical lattice potential. Such localized wavepackets can exist only in the gap…
Dispersion control for matter waves and gap solitons in optical superlattices
Pearl J. Y. Louis, Elena A. Ostrovskaya, Yuri S. Kivshar
We present a numerical study of dispersion manipulation and formation of matter-wave gap solitons in a Bose-Einstein condensate trapped in an optical superlattice. We demonstrate a…
Matter-wave gap vortices in optical lattices
Elena A. Ostrovskaya, Yuri S. Kivshar
We predict the existence of spatially localized nontrivial topological states of the Bose-Einstein condensate with repulsive atomic interactions confined by an optical lattice. The…