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Spectral Walls in Soliton Collisions
C Adam1, K Oles2, T Romanczukiewicz2
1Departamento de Física de Partículas, Universidad de Santiago de Compostela and Instituto Galego de Física de Altas Enerxias (IGFAE), E-15782 Santiago de Compostela, Spain.
Physical Review Letters
|July 20, 2019
Summary
Bound modes in defect-antidefect scattering can create spectral walls, altering excitation spectra. These spectral walls act as barriers, influencing defect interactions and potentially surrounding all solitons with internal modes.
Area of Science:
- * Theoretical physics
- * Condensed matter physics
- * Nonlinear dynamics
Background:
- * Defect-antidefect scattering involves complex interactions where bound modes can shift into the continuous spectrum.
- * This spectral shift causes nonperturbative structural changes in the spectrum of small excitations.
- * Such phenomena can manifest as effective 'walls' that influence defect behavior.
Purpose of the Study:
- * To demonstrate the existence of spectral walls in defect-antidefect scattering.
- * To investigate the properties of these spectral walls.
- * To explore the conditions under which spectral walls appear and their implications for solitons.
Main Methods:
- * Utilizing the phi^4 model with a Bogomol'nyi-Prasad-Sommerfield (BPS) preserving impurity.
- * Analyzing the spectral properties of excitations during scattering events.
- * Isolating the spectral wall phenomenon by exploiting the vanishing static force between antikink and impurity.
Main Results:
- * Confirmation of the existence of spectral walls during defect-antidefect scattering.
- * Characterization of the properties of these spectral walls.
- * Demonstration that the spectral wall can act as a reflective barrier for defects.
Conclusions:
- * Spectral walls are a significant phenomenon in defect-antidefect scattering, causing nonperturbative spectral changes.
- * The phi^4 model with a BPS-preserving impurity provides a unique system to study isolated spectral walls.
- * It is concluded that spectral walls are likely a general feature surrounding all solitons with internal modes.
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