Scattering of solitons by complex �������� symmetric Gaussian potentials

Area of Science:

• Nonlinear Optics
• Quantum Mechanics
• Condensed Matter Physics

Background:

• Solitons are self-reinforcing wave packets that maintain their shape while propagating.
• Parity-time (PT)-symmetric potentials offer unique properties in wave phenomena, differing from traditional Hermitian systems.
• Understanding soliton interactions with complex potentials is crucial for developing advanced optical and electronic devices.

Purpose of the Study:

• To numerically investigate the scattering dynamics of bright solitons interacting with PT-symmetric potentials (both wells and barriers).
• To analyze the influence of the real and imaginary parts of the PT-symmetric potential on soliton behavior, including reflection, transmission, and trapping.
• To explore potential applications of these findings in optical and information technologies.

Main Methods:

• Numerical simulations were employed to model the interaction of bright solitons with PT-symmetric potentials.
• The study focused on analyzing the effects of varying the strength of the real part and the width of the imaginary part of the potential.
• Key parameters such as reflection, transmission, and trapping phenomena were quantified.

Main Results:

• Increasing the real part of the PT-potential leads to repeated reflection, transmission, and trapping due to energy exchange.
• The width of scattering windows expands with an increase in the imaginary part of the PT-potential.
• Complex scattering behaviors, including resonant effects, were observed.

Conclusions:

• The scattering of bright solitons by PT-symmetric potentials exhibits rich dynamics governed by the potential's real and imaginary components.
• The observed phenomena, such as tunable scattering and trapping, offer pathways for novel device functionalities.
• These findings have potential applications in the design of optical interferometry and diodes for information technology.