Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations [electronic resource] /
Malomed, Boris A.editor.
This volume collects a number of contributions on the general theme of spontaneous symmetry breaking in nonlinear systems, and related topics. Current studies in these areas are going ahead at a full speed. Chapters included into the book present an overview on major recent achievements. They cover a number of different physical settings, which are introduced when a nonlinearity is added to underlying symmetric configurations. The spontaneous symmetry breaking, alias self-trapping into asymmetric states, happens when the strength of the nonlinearity exceeds a certain critical value. A related generic dynamical effect appears in the form of Josephson oscillations between mutually symmetric states. Theoretical studies of these phenomena, as well as related experimental findings, are extensively discussed in the book - chiefly, in the context of Bose-Einstein condensates and nonlinear optics.
Description based upon print version of record.
Preface; Contents; Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices; Abstract; 1...Introduction; 2...2-D Optical Periodic Lattices; 3...Honeycomb Lattices and Bloch Theory; 4...Nonlinear Discrete Dynamics; 5...Linear Properties; 6...Conical Dirac Dynamics; 7...Symmetry Breaking and Nonlinear Transitions; 8...Effective Dynamics for Deformation Lattices; 8.1 Before Separation; 8.2 After Separation; 9...Conclusion; Acknowledgments; References; Light Self-Localization and Power-Dependent Steering in Anisotropic Dielectrics: Spatial Solitons in Uniaxial Nematic Liquid Crystals; Abstract
1...Introduction2...Nonlinear Light Propagation in Anisotropic Media; 2.1 Equations for the Optical Field; 2.2 Soliton Self-Steering; 3...Highly Nonlocal Case; 3.1 Reorientational Nonlinearity in Nematic Liquid Crystals; 4...Basic Physics of Nematicons; 4.1 Perturbative Regime; 4.2 Highly Nonlinear Regime; 5...Profile-Preserving Nematicons; 6...Breathing Nematicons; 6.1 Simplified (1 + 1)D Model; 6.2 Lossless Limit; 6.3 Lossy Case; 7...Conclusions; References; Frequency and Phase Locking of Laser Cavity Solitons; Abstract; 1...Introduction
2...Laser Cavity Solitons and Their Interactions in VCSELs with Feedback2.1 Devices and Experimental Setup; 2.2 Basic Properties of Laser Cavity Solitons; 2.3 Phase Locking of Laser Cavity Solitons Via Change of Current; 2.4 Phase and Frequency Locking of Laser Cavity Solitons Via Change of Feedback Phase; 3...Theoretical Description; 3.1 The Semiconductor Class-B Model; 3.2 The Simplifed Ginzburg--Landau Model; 4...Theoretical Results: Homogeneous Systems; 4.1 Ginzburg--Landau Model; 4.2 Semiconductor Class-B Model; 5...Theoretical Results: Inhomogeneous Systems and Adler-Locking
5.1 Ginzburg--Landau Model5.2 Semiconductor Class-B Model; 6...Conclusions; Acknowledgments; References; Light-Induced Breaking of Symmetry in Photonic Crystal Waveguides with Nonlinear Defects as a Key for All-Optical Switching Circuits; Abstract; 1...Introduction; 2...Basic Equations; 3...Linear Optical Waveguide Coupled with Two Nonlinear Off-Channel Cavities Aligned Symmetrically; 3.1 Symmetry Preserving Solution; 3.2 Symmetry Breaking Solution; 3.3 Phase Symmetry Breaking Solution; 3.4 Stability of Solutions; 3.5 Numerical Calculations in Photonic Crystal
4...The T-Shape Waveguide Coupled with Two Nonlinear Defects5...Dipole Modes of the Single Nonlinear Defect Coupled with Waveguide; 6...Summary and Conclusions; Acknowledgments; References; Spatial Solitons in Parity-Time-Symmetric Photonic Lattices: Recent Theoretical Results; 1...Introduction; 2...The General Model; 3...Optical Solitons in PT-Symmetric Periodic Potentials; 4...Dark Solitons and Vortices in PT-Symmetric Nonlinear Self-Defocusing Media: From Spontaneous Symmetry Breaking to Nonlinear PT Phase Transitions; 4.1 One-Dimensional Dark Solitons; 4.2 Two-Dimensional Generalizations
5...Soliton in PT-Symmetric Mixed Linear-Nonlinear PLs
Includes bibliographical references.
This volume collects a number of contributions on the general theme of spontaneous symmetry breaking in nonlinear systems, and related topics. Current studies in these areas are going ahead at a full speed. Chapters included into the book present an overview on major recent achievements. They cover a number of different physical settings, which are introduced when a nonlinearity is added to underlying symmetric configurations. The spontaneous symmetry breaking, alias self-trapping into asymmetric states, happens when the strength of the nonlinearity exceeds a certain critical value. A related generic dynamical effect appears in the form of Josephson oscillations between mutually symmetric states. Theoretical studies of these phenomena, as well as related experimental findings, are extensively discussed in the book - chiefly, in the context of Bose-Einstein condensates and nonlinear optics.
Quantum optics.
Microwaves.
Optical engineering.
Lasers.
Photonics.
Solid state physics.
Quantum Optics.
Microwaves, RF and Optical Engineering.
Optics, Lasers, Photonics, Optical Devices.
Solid State Physics.