Temporal-Spatial Interference Pattern During Solitons Interaction

Abstract

Interference patterns associated with soliton-soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics. The period of the spatial interference pattern is determined by the relative velocity of the solitons, and the temporal pattern behavior is determined by the peak amplitudes and the kinetic energy of the solitons. Analytical expressions for the periods of the interference patterns are obtained. A method for classifying the nonlinearity of many nonlinear systems is proposed. As an example, we discuss possibilities to observe these properties of solitons in a nonlinear planar waveguide.

5pages, 4 figures

References in corpus (7)

• A Bright Solitonic Matter-Wave Interferometer
• Precision atomic gravimeter based on Bragg diffraction
• 80hk Momentum Separation with Bloch Oscillations in an Optically Guided Atom Interferometer
• Fully three dimensional breather solitons can be created using Feshbach resonance
• Soliton-based matter wave interferometer
• Realizing bright matter-wave soliton collisions with controlled relative phase
• Bright soliton quantum superpositions: signatures of high- and low-fidelity states

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• Several Localized Waves Induced by Linear Interference between a Nonlinear Plane Wave and Bright Solitons
• Soliton collisions in Bose-Einstein condensates with current-dependent interactions
• Phase Characters of Optical Dark Solitons with the Third-order Dispersion and Delayed Nonlinear Response