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Self-defocusing nonlinear coupled system with PT-symmetric super-Gaussian potential
1Department of Physics, Farook College, University of Calicut, Kozhikode, Kerala 673632, India.
Chaos (Woodbury, N.Y.)
|September 13, 2023
Summary
This study analyzes stationary solutions in optical systems using parity-time (PT) symmetric potentials. We investigated eigenmodes, phase transitions, and power distribution, finding crucial effects of gain/loss and nonlinearity.
Area of Science:
- Nonlinear Optics
- Quantum Mechanics
- Mathematical Physics
Background:
- Coupled nonlinear Schrödinger equation (NLSE) models are crucial for describing light propagation in optical systems.
- Parity-time (PT) symmetry offers unique properties for optical potentials, influencing system dynamics.
- Super-Gaussian potentials provide a specific form for implementing PT symmetry.
Purpose of the Study:
- To analyze stationary solutions of the coupled NLSE with a super-Gaussian PT-symmetric potential.
- To investigate the influence of gain/loss coefficients on eigenvalue spectra and PT-symmetric phase transitions.
- To examine the impact of coupling constants and nonlinearity on eigenmodes and power distribution.
Main Methods:
- Analysis of stationary solutions for ground and excited states.
- Linear-stability analysis to verify solution stability.
- Investigation of threshold conditions for PT-symmetric phase transitions.
- Study of power distribution in PT and broken PT regimes.
Main Results:
- Identified stationary eigenmodes for ground and excited states.
- Determined the influence of gain/loss coefficients on eigenvalue spectra.
- Characterized the threshold conditions for PT-symmetric phase transitions.
- Analyzed the effects of coupling constants and nonlinearity on eigenmodes and power distribution.
Conclusions:
- The study provides a comprehensive analysis of stationary solutions in PT-symmetric optical systems.
- Gain/loss coefficients and nonlinearity significantly affect system dynamics and stability.
- Understanding these effects is crucial for designing and controlling optical systems with PT symmetry.
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