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    Emergent Nonlinear Phenomena in Bose-Einstein Condensates: Theory and Experiment

    Emergent Nonlinear Phenomena in Bose-Einstein Condensates by Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Carretero-González, Ricardo;

    Theory and Experiment

    Sorozatcím: Springer Series on Atomic, Optical, and Plasma Physics; 45;

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    Rövid leírás:

    This book, written by experts in the fields of atomic physics and nonlinear science, consists of reviews of the current state of the art at the interface of these fields, as is exemplified by the modern theme of Bose-Einstein condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; manipulation of condensates; mathematical methods/rigorous results; and aspects beyond the mean field approach. A distinguishing feature of the contents is the detailed incorporation of both the experimental and theoretical viewpoints through subsections of the relevant chapters.

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    Hosszú leírás:

    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.

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    Tartalomjegyzék:

    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.

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