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Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

  • Book
  • © 2013

Overview

Editors:
  1. Boris A. Malomed

    1. Faculty of Engineering The Iby and Aladar Fleischman, Tel Aviv University, Ramat Aviv, Israel

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  • Give an overview on the major break throughs of recent years
  • Relevant for Bose-Einstein-condensates and photorefractive media in optics
  • Presents theoretical and experimental break throughs
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Optical Science and Photonics (POSP, volume 1)

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices

    • Mark J. Ablowitz, Yi Zhu
    Pages 1-26

  3. Light Self-Localization and Power-Dependent Steering in Anisotropic Dielectrics: Spatial Solitons in Uniaxial Nematic Liquid Crystals

    • Alessandro Alberucci, Gaetano Assanto
    Pages 27-47

  4. Frequency and Phase Locking of Laser Cavity Solitons

    • T. Ackemann, Y. Noblet, P. V. Paulau, C. McIntyre, P. Colet, W. J. Firth et al.
    Pages 49-87

  5. Light-Induced Breaking of Symmetry in Photonic Crystal Waveguides with Nonlinear Defects as a Key for All-Optical Switching Circuits

    • Evgeny Bulgakov, Almas Sadreev, Konstantin N. Pichugin
    Pages 89-124

  6. Spatial Solitons in Parity-Time-Symmetric Photonic Lattices: Recent Theoretical Results

    • Ying-Ji He, Boris A. Malomed
    Pages 125-148

  7. Spontaneous Symmetry Breaking of Pinned Modes in Nonlinear Gratings with an Embedded Pair of Defects

    • I. V. Kabakova, I. Uddin, J. Jeyaratnam, C. M. de Sterke, B. A. Malomed
    Pages 149-165

  8. Guided Modes and Symmetry Breaking Supported by Localized Gain

    • Yaroslav V. Kartashov, Vladimir V. Konotop, Victor A. Vysloukh, Dmitry A. Zezyulin
    Pages 167-200

  9. Analytical Solitary Wave Solutions of a Nonlinear Kronig-Penney Model for Photonic Structures Consisting of Linear and Nonlinear Layers

    • Yannis Kominis, Kyriakos Hizanidis
    Pages 201-226

  10. Trapping Polarization of Light in Nonlinear Optical Fibers: An Ideal Raman Polarizer

    • Victor V. Kozlov, Javier Nuño, Juan Diego Ania-Castañón, Stefan Wabnitz
    Pages 227-246

  11. Studies of Existence and Stability of Circularly Polarized Few-Cycle Solitons Beyond the Slowly-Varying Envelope Approximation

    • Hervé Leblond, Dumitru Mihalache, Houria Triki
    Pages 247-275

  12. Defect Modes, Fano Resonances and Embedded States in Magnetic Metamaterials

    • M. I. Molina
    Pages 277-307

  13. Pattern Formation Under a Localized Gain

    • Alexander A. Nepomnyashchy
    Pages 309-320

  14. Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities

    • Jacob Scheuer, Meir Orenstein
    Pages 321-356

  15. Sub-Wavelength Plasmonic Solitons in 1D and 2D Arrays of Coupled Metallic Nanowires

    • F. Ye, D. Mihalache, N. C. Panoiu
    Pages 357-375

  16. From Coherent Modes to Turbulence and Granulation of Trapped Gases

    • V. S. Bagnato, V. I. Yukalov
    Pages 377-401

  17. Bright Solitary Matter Waves: Formation, Stability and Interactions

    • T. P. Billam, A. L. Marchant, S. L. Cornish, S. A. Gardiner, N. G. Parker
    Pages 403-455

  18. Temporal Quantum Fluctuations in the Fringe-Visibility of Atom Interferometers with Interacting Bose-Einstein Condensate

    • Doron Cohen, Amichay Vardi
    Pages 457-472

  19. Temperature Effects on the Quantum Coherence of Bosonic Josephson Junctions

    • B. Juliá-Díaz, J. Martorell, A. Polls
    Pages 473-484

  20. Multiple Fluxon Analogues and Dark Solitons in Linearly Coupled Bose–Einstein Condensates

    • M. I. Qadir, H. Susanto, P. C. Matthews
    Pages 485-508
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Keywords

About this book

This volume collects a a number of contributions on spontaneous symmetry breaking. Current studies in this general field are going ahead at a full speed. The book present review chapters which give an overview on the major break throughs of recent years. It covers a number of different physical settings which are introduced when a nonlinearity is added to the underlying symmetric problems and its strength exceeds a certain critical value. The corresponding loss of symmetry, called spontaneous symmetry breaking, alias self-trapping into asymmetric states is extensively discussed in this book.
The book presents both active theoretical studies of spontaneous symmetry breaking effects as well as experimental findings, chiefly for Bose-Einstein-Condensates with the self-repulsive nonlinearity, and also for photorefractive media in optics.

Editors and Affiliations

  • Faculty of Engineering The Iby and Aladar Fleischman, Tel Aviv University, Ramat Aviv, Israel

    Boris A. Malomed

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