Unidirectional segregation of Bright-Bright soliton through a $\mathcal{PT}$-symmetric potential

TL;DR

This paper investigates the unidirectional segregation of bright-bright solitons in a $ ext{PT}$-symmetric potential, combining numerical simulations with an analytical variational model to explain the splitting mechanism.

Contribution

It introduces a combined numerical and analytical approach to understand the unidirectional splitting of BB solitons in $ ext{PT}$-symmetric environments, highlighting the effective force between components.

Findings

Demonstrated unidirectional segregation via simulations

Developed an analytical variational model confirming numerical results

Explained soliton splitting through effective inter-component forces

Abstract

We study the dynamics of two-component vector solitons, namely, bright-bright (BB) solitons interacting with parity-time-($\mathcal{PT}$) symmetric potentials. We employ direct numerical simulations to demonstrate the unidirectional segregation of the BB soliton. Using a modified perturbed dynamical variational Lagrangian approximation, we develop an analytical model to verify the results obtained from the numerical calculations. Simplified variational equations of motion suggest that the splitting of BB solitons can be explained by considering the effective force between the two components.