Nonlinear excitations in arrays of Bose-Einstein condensates
By F. Abdullaev, B. Baizakov, S. Darmanyan, Vladimir V. Konotop, M. Salerno. 2001
183 citations recorded by the source corpus.
The dynamics of localized excitations in array of Bose-Einstein condensates is investigated in the framework of the nonlinear lattice theory. The existence of temporarily stable ground states displaying an atomic population distributions localized on very few lattice sites (intrinsic localized modes), as well as, of atomic population distributions involving many lattice sites (envelope solitons), is studied both numerically and analytically. The origin and properties of these modes are shown to be inherently connected with the interplay between macroscopic quantum tunnelling and nonlinearity induced self-trapping of atoms in coupled BECs. The phenomenon of Bloch oscillations of these excitations is studied both for zero and non zero backgrounds. We find that in a definite range of parameters, homogeneous distributions can become modulationally unstable. We also show that bright solitons and excitations of shock wave type can exist in BEC arrays even in the case of positive scattering length. Finally, we argue that BEC array with negative scattering length in presence of linear potentials can display collapse.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/46ad2e1cb27be8ec0d3c96677dcaf1160d85a7f0
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
- Dimitri J. Frantzeskakis
- Dmitry E. Pelinovsky
- Panayotis G. Kevrekidis
- O. Morsch
- Markus K. Oberthaler
- Boris A. Malomed
Citations in the corpus
- Stability of discrete solitons in nonlinear Schrödinger lattices (2005, methodology): “Numerous applications of these problems have emerged ranging from nonlinear optics, in the dynamics of guided waves in inhomogeneous optical structures [1, 2] and photonic crystal lattices [3, 4], to atomic physics, in the dynamics of Bose-Einstein condensate droplets in periodic (optical lattice) p”
- Dynamics of Bose-Einstein condensates in optical lattices (2006, methodology): “An extension of this treatment to discrete solitons living on a constant background was published by Abdullaev et al. 2001 .”