Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Theory and Experiment

  • Panayotis G. Kevrekidis
  • Dimitri J. Frantzeskakis
  • Ricardo Carretero-González

Part of the Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 45)

Table of contents

  1. Front Matter
    Pages I-XXII
  2. Basic Mean-Field Theory for Bose-Einstein Condensates

    1. P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González
      Pages 3-21
  3. Bright Solitons in Bose-Einstein Condensates

    1. F. Kh. Abdullaev, J. Garnier
      Pages 25-43
  4. Dark Solitons in Bose-Einstein Condensates

  5. Nonlinear Localization of BECs in Optical Lattices

    1. E. A. Ostrovskaya, M. K. Oberthaler, Y. S. Kivshar
      Pages 99-130
  6. Multi-Dimensional Solitons in Bose-Einstein Condensates

    1. L. D. Carr, J. Brand
      Pages 133-156
    2. J. Brand, L. D. Carr, B. P. Anderson
      Pages 157-169
  7. Vortices in Bose-Einstein Condensates

    1. N. G. Parker, B. Jackson, A. M. Martin, C. S. Adams
      Pages 173-189
  8. Vortex Lattices

  9. Optical Lattices

    1. A. Smerzi, A. Trombettoni
      Pages 247-265
  10. Multi-Component Bose-Einstein Condensates

  11. Manipulations of Coherent Matter-Waves

    1. P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González
      Pages 331-349
  12. Beyond Gross-Pitaevskii Mean Field Theory

    1. N. P. Proukakis
      Pages 353-373
  13. Asymptotic Reductions of the Gross-Pitaevskii Equation

  14. Back Matter
    Pages 399-405

About this book


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.


Atomic physics BEC Nonlinear science experiment vortices

Editors and affiliations

  • Panayotis G. Kevrekidis
    • 1
  • Dimitri J. Frantzeskakis
    • 2
  • Ricardo Carretero-González
    • 3
  1. 1.University of MassachusettsAmherstUSA
  2. 2.University of AthensAthensGreece
  3. 3.San Diego State UniversitySan DiegoUSA

Bibliographic information