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Dark Matter-Wave Solitons in Optical Lattices
Pearl J. Y. Louis, Elena A. Ostrovskaya, Yuri S. Kivshar
We analyze the Floquet-Bloch matter-wave spectrum of Bose-Einstein condensates loaded into single-periodic optical lattices and double-periodic superlattices. In the framework of t…
Nonlinear Modes of a Macroscopic Quantum Oscillator
Yuri S. Kivshar, Tristram J. Alexander, Sergey K. Turitsyn
We consider the Bose-Einstein condensate in a parabolic trap as a macroscopic quantum oscillator and describe, analytically and numerically, its collective modes - a nonlinear gene…
Trapped Bose-Einstein Condensates: Role of Dimensionality
Yuri S. Kivshar, Tristram J. Alexander
We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1,2,3) on the structure and stability of the Bose…