The ? eld of Bose-Einstein condensation in atomic gases has been full of s- prises. Whathappenedafterthe? rstrealization ofBose-Einstein condensates in 1995 has far exceeded the vision of their creators. Originally, I expected interesting studies of equilibrium properties and dynamics, but the Bose- Einstein condensate became a pristine platform for a host of scienti? c studies. The condensate turned out to be a well-controlled medium for nonlinear wave phenomenaincludingfour-wavemixing, darkandbrightsolitons, anddynamic instabilities. Rotating condensates gave access to the rich physics of vortices and vortex lattices. The availability of di? erent hyper? ne states led to mul- component or spinor condensates, and optical lattices opened up yet another major frontier which is still rapidly expanding. Feshbach resonances and c- densation of fermion pairs will provide interesting phenomena to study for many more years to come. This rapid development of the ? eld has been fueled by a unique int- play between experiment and theory. Although experimentalists had the lead in realizing new systems, many phenomena were ? rst predicted and then observed. The present book re? ects this symbiosis by a balance of theoretical and experimental contributions. Twelve years after its beginning, the ? eld has reached a degree of maturity which is much better represented by a comp- hensive book than by a collection of original articles. I therefore expect this book not only to provide a valuable introduction to many young researchers who are joining this ? eld, but also serve as a reference for further studies of nonlinear phenomena in this rich system.
Inhaltsverzeichnis
Basic Mean-Field Theory for Bose-Einstein Condensates. - Basic Mean-Field Theory for Bose-Einstein Condensates. - Bright Solitons in Bose-Einstein Condensates. - Bright Solitons in Bose-Einstein Condensates: Theory. - Bright Solitons: Summary of Experimental Techniques. - Dark Solitons in Bose-Einstein Condensates. - Dark Solitons in Bose-Einstein Condensates: Theory. - Dark Solitons in BECs: The First Experiments. - Nonlinear Localization of BECs in Optical Lattices. - Nonlinear Localization of BECs in Optical Lattices. - Multi-Dimensional Solitons in Bose-Einstein Condensates. - Multidimensional Solitons: Theory. - Experiments on Multidimensional Solitons. - Vortices in Bose-Einstein Condensates. - Vortices in Bose-Einstein Condensates: Theory. - Vortices in Bose-Einstein Condensates: Experiments. - Vortex Lattices. - Vortex Lattices in Bose-Einstein Condensates: Theory. - Vortex Lattices in Bose-Einstein Condensates: Experiments. - Optical Lattices. - Optical Lattices: Theory. - Bose-Einstein Condensates in Optical Lattices: Experiments. - Multi-Component Bose-Einstein Condensates. - Multi-Component Bose-Einstein Condensates: Theory. - Multi-Component Condensates: Experiment. - Manipulations of Coherent Matter-Waves. - Manipulations of Coherent Matter-Waves. - Beyond Gross-Pitaevskii Mean Field Theory. - Beyond Gross-Pitaevskii Mean-Field Theory. - Asymptotic Reductions of the Gross-Pitaevskii Equation. - Asymptotic Reductions of the Gross-Pitaevskii Equation.
