Rotation of the Trajectories of Bright soliton and Realignment of Intensity Distribution in the Coupled Nonlinear Schrodinger Equation

TL;DR

This paper studies the dynamics of bright solitons in coupled nonlinear Schrödinger equations, revealing trajectory rotation and intensity realignment influenced by phase modulation parameters, with implications for nonlinear optics and quantum systems.

Contribution

It introduces the concept of trajectory rotation of bright solitons due to energy injection via SPM and XPM, a novel insight in coupled nonlinear Schrödinger systems.

Findings

Trajectory rotation of bright solitons can be controlled by SPM and XPM parameters.

Energy injection causes both trajectory rotation and intensity realignment.

Angular separation between solitons can be manipulated.

Abstract

We revisit the collisional dynamics of bright solitons in the coupled Nonlinear Schrodinger equation. We observe that apart from the intensity redistribution in the interaction of bright solitons, one also witnesses a rotation of the trajectories of bright solitons . The angle of rotation can be varied by suitably manipulating the Self-Phase Modulation (SPM) or Cross Phase Modulation (XPM) parameters.The rotation of the trajectories of the bright solitons arises due to the excess energy that is injected into the dynamical system through SPM or XPM. This extra energy not only contributes to the rotation of the trajectories, but also to the realignment of intensity distribution between the two modes. We also notice that the angular separation between the bright solitons can also manouvred suitably. The above results which exclude quantum superposition for the field vectors may have wider ramifications in nonlinear optics, Bose-Einstein condensates, Left Handed (LH) and Right Handed (RH) meta materials.