Matter wave soliton collisions in the quasi one dimensional potential

TL;DR

This paper studies the behavior of matter wave solitons in a quasi-one-dimensional potential, analyzing their collision dynamics, collapse conditions, and validating predictions with variational analysis.

Contribution

It provides a detailed analysis of soliton collision regimes in a 2D nonlinear system with a quasi-1D potential, including collapse criteria and variational prediction validation.

Findings

Identified three collision regimes: elastic, excitation, and collapse.

Derived collapse criteria for solitons in the system.

Validated variational analysis as an accurate predictive tool.

Abstract

We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find criterion for possible collapse. This information is then used to investigate the dynamics of the two soliton collision. In this dynamics we identify three regimes according to the relation between nonlinear interaction and the excitation energy: elastic collision, excitation and collapse regime. We show that surprisingly accurate predictions can be obtained from variational analysis.