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

Abstract

We study the dynamics of two-component vector solitons, namely, bright-bright (BB) solitons interacting with parity-time-($\mathcal{P}\mathcal{T}$) 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.

8 pages, 11 figures

References in corpus (5)

• Unidirectional Nonlinear PT-symmetric Optical Structures
• Bistable diode action in left-handed periodic structures
• Enhanced Quantum Reflection of Matter-Wave Solitons
• Nonlinear localized modes in PT-symmetric Rosen-Morse potential well
• Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells