Ebook: Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

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.

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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.

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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.

Content:
Front Matter....Pages i-xvii
Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices....Pages 1-26
Light Self-Localization and Power-Dependent Steering in Anisotropic Dielectrics: Spatial Solitons in Uniaxial Nematic Liquid Crystals....Pages 27-47
Frequency and Phase Locking of Laser Cavity Solitons....Pages 49-87
Light-Induced Breaking of Symmetry in Photonic Crystal Waveguides with Nonlinear Defects as a Key for All-Optical Switching Circuits....Pages 89-124
Spatial Solitons in Parity-Time-Symmetric Photonic Lattices: Recent Theoretical Results....Pages 125-148
Spontaneous Symmetry Breaking of Pinned Modes in Nonlinear Gratings with an Embedded Pair of Defects....Pages 149-165
Guided Modes and Symmetry Breaking Supported by Localized Gain....Pages 167-200
Analytical Solitary Wave Solutions of a Nonlinear Kronig-Penney Model for Photonic Structures Consisting of Linear and Nonlinear Layers....Pages 201-226
Trapping Polarization of Light in Nonlinear Optical Fibers: An Ideal Raman Polarizer....Pages 227-246
Studies of Existence and Stability of Circularly Polarized Few-Cycle Solitons Beyond the Slowly-Varying Envelope Approximation....Pages 247-275
Defect Modes, Fano Resonances and Embedded States in Magnetic Metamaterials....Pages 277-307
Pattern Formation Under a Localized Gain....Pages 309-320
Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities....Pages 321-356
Sub-Wavelength Plasmonic Solitons in 1D and 2D Arrays of Coupled Metallic Nanowires....Pages 357-375
From Coherent Modes to Turbulence and Granulation of Trapped Gases....Pages 377-401
Bright Solitary Matter Waves: Formation, Stability and Interactions....Pages 403-455
Temporal Quantum Fluctuations in the Fringe-Visibility of Atom Interferometers with Interacting Bose-Einstein Condensate....Pages 457-472
Temperature Effects on the Quantum Coherence of Bosonic Josephson Junctions....Pages 473-484
Multiple Fluxon Analogues and Dark Solitons in Linearly Coupled Bose–Einstein Condensates....Pages 485-508
Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials....Pages 509-529
Classical Dynamics of a Two-species Bose-Einstein Condensate in the Presence of Nonlinear Maser Processes....Pages 531-542
Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates....Pages 543-581
Josephson Tunneling of Excited States in a Double-Well Potential....Pages 583-599
Solitons in a Parametrically Driven Damped Discrete Nonlinear Schr?dinger Equation....Pages 601-638
Conditions and Stability Analysis for Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schr?dinger Equations....Pages 639-655
Escape Time of Josephson Junctions for Signal Detection....Pages 657-678
Symmetry Breaking Criteria in Electrostatically Loaded Bistable Curved/Prebuckled Micro Beams....Pages 679-705
Erratum to: Escape Time of Josephson Junctions for Signal Detection....Pages 707-707

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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.

Content:
Front Matter....Pages i-xvii
Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices....Pages 1-26
Light Self-Localization and Power-Dependent Steering in Anisotropic Dielectrics: Spatial Solitons in Uniaxial Nematic Liquid Crystals....Pages 27-47
Frequency and Phase Locking of Laser Cavity Solitons....Pages 49-87
Light-Induced Breaking of Symmetry in Photonic Crystal Waveguides with Nonlinear Defects as a Key for All-Optical Switching Circuits....Pages 89-124
Spatial Solitons in Parity-Time-Symmetric Photonic Lattices: Recent Theoretical Results....Pages 125-148
Spontaneous Symmetry Breaking of Pinned Modes in Nonlinear Gratings with an Embedded Pair of Defects....Pages 149-165
Guided Modes and Symmetry Breaking Supported by Localized Gain....Pages 167-200
Analytical Solitary Wave Solutions of a Nonlinear Kronig-Penney Model for Photonic Structures Consisting of Linear and Nonlinear Layers....Pages 201-226
Trapping Polarization of Light in Nonlinear Optical Fibers: An Ideal Raman Polarizer....Pages 227-246
Studies of Existence and Stability of Circularly Polarized Few-Cycle Solitons Beyond the Slowly-Varying Envelope Approximation....Pages 247-275
Defect Modes, Fano Resonances and Embedded States in Magnetic Metamaterials....Pages 277-307
Pattern Formation Under a Localized Gain....Pages 309-320
Spontaneous Formation and Switching of Optical Patterns in Semiconductor Microcavities....Pages 321-356
Sub-Wavelength Plasmonic Solitons in 1D and 2D Arrays of Coupled Metallic Nanowires....Pages 357-375
From Coherent Modes to Turbulence and Granulation of Trapped Gases....Pages 377-401
Bright Solitary Matter Waves: Formation, Stability and Interactions....Pages 403-455
Temporal Quantum Fluctuations in the Fringe-Visibility of Atom Interferometers with Interacting Bose-Einstein Condensate....Pages 457-472
Temperature Effects on the Quantum Coherence of Bosonic Josephson Junctions....Pages 473-484
Multiple Fluxon Analogues and Dark Solitons in Linearly Coupled Bose–Einstein Condensates....Pages 485-508
Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials....Pages 509-529
Classical Dynamics of a Two-species Bose-Einstein Condensate in the Presence of Nonlinear Maser Processes....Pages 531-542
Existence, Stability and Nonlinear Dynamics of Vortices and Vortex Clusters in Anisotropic Bose-Einstein Condensates....Pages 543-581
Josephson Tunneling of Excited States in a Double-Well Potential....Pages 583-599
Solitons in a Parametrically Driven Damped Discrete Nonlinear Schr?dinger Equation....Pages 601-638
Conditions and Stability Analysis for Saddle-Node Bifurcations of Solitary Waves in Generalized Nonlinear Schr?dinger Equations....Pages 639-655
Escape Time of Josephson Junctions for Signal Detection....Pages 657-678
Symmetry Breaking Criteria in Electrostatically Loaded Bistable Curved/Prebuckled Micro Beams....Pages 679-705
Erratum to: Escape Time of Josephson Junctions for Signal Detection....Pages 707-707
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