Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

1. Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials

   • A. S. Rodrigues, P. G. Kevrekidis, J. Cuevas, R. Carretero-González, D. J. Frantzeskakis

   Pages 509-529

2. Classical Dynamics of a Two-species Bose-Einstein Condensate in the Presence of Nonlinear Maser Processes

   • B. M. Rodríguez-Lara, R.-K. Lee

   Pages 531-542

3. Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates

   • J. Stockhofe, P. G. Kevrekidis, P. Schmelcher

   Pages 543-581

4. Josephson Tunneling of Excited States in a Double-Well Potential

   • H. Susanto, J. Cuevas

   Pages 583-599

5. Solitons in a Parametrically Driven Damped Discrete Nonlinear Schrödinger Equation

   • M. Syafwan, H. Susanto, S. M. Cox

   Pages 601-638

6. Conditions and Stability Analysis for Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schrödinger Equations

   • Jianke Yang

   Pages 639-655

7. Escape Time of Josephson Junctions for Signal Detection

   • P. Addesso, G. Filatrella, V. Pierro

   Pages 657-678

8. Symmetry Breaking Criteria in Electrostatically Loaded Bistable Curved/Prebuckled Micro Beams

   • Lior Medina, Rivka Gilat, Slava Krylov

   Pages 679-705

9. Erratum to: Escape Time of Josephson Junctions for Signal Detection

   • P. Addesso, G. Filatrella, V. Pierro

   Pages 707-707

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.

• Bose-Einstein-Condensation BEC
• Josephson oscillations
• dual-core systems
• nonlinear Hamiltonian
• nonlinear optical fibers
• nonlinear optics
• photorefractive media
• self-trapping
• supercritical symmetry breaking
• symmetry breaking bifurcation

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

  Boris A. Malomed

Policies and ethics