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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…
Localization of Two-Component Bose-Einstein Condensates in Optical Lattices
Elena A. Ostrovskaya, Yuri S. Kivshar
We reveal underlying principles of nonlinear localization of a two-component Bose-Einstein condensate loaded into a one-dimensional optical lattice. Our theory shows that spin-depe…
Matter-wave gap solitons in atomic bandgap structures
Elena A. Ostrovskaya, Yuri S. Kivshar
We demonstrate that a Bose-Einstein condensate in an optical lattice forms a reconfigurable matter-wave structure with a band-gap spectrum, which resembles a nonlinear photonic cry…