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Positive- and negative-mass solitons in Bose–Einstein condensates with optical lattices

Sakaguchi, H.; Malomed, B.A. - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 5, pp. 492-501

analytically that, in the case of the repulsive BEC, where the soliton is of the gap type, its effective mass is negative. In … accordance with this, we demonstrate that such a soliton cannot be held by the usual parabolic trap, but it can be captured … (performing harmonic oscillations) by an anti-trapping inverted parabolic potential. We also study the motion of the soliton in a …

Persistent link: https://www.econbiz.de/10011050596

Domain walls of single-component Bose–Einstein condensates in external potentials

Kevrekidis, P.G.; Malomed, B.A.; Frantzeskakis, D.J.; … - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 3, pp. 334-345

We demonstrate the possibility of creating domain walls described by a single component Gross–Pitaevskii equation with attractive interactions, in the presence of an optical–lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external...

Persistent link: https://www.econbiz.de/10011050961

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose–Einstein condensates

Theocharis, G.; Frantzeskakis, D.J.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 5, pp. 537-552

soliton. Analytical results, based on perturbation techniques, for the motion of the dark soliton are obtained and compared to … may capture and drag a dark soliton. …

Persistent link: https://www.econbiz.de/10011050965

Domain-wall crosses and propellers in binary Bose–Einstein condensates

Malomed, B.A.; Nistazakis, H.E.; Kevrekidis, P.G.; … - In: Mathematics and Computers in Simulation (MATCOM) 69 (2005) 3, pp. 400-412

For two-dimensional condensates, we introduce patterns formed by intersection of domain-walls (DWs) between immiscible species. Both symmetric and asymmetric cases are investigated, with equal or different numbers N1,2 of atoms in the two species. The case of a rotating trap is considered too....

Persistent link: https://www.econbiz.de/10011051250