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Perturbative Dynamics of Stationary States in Nonlinear Parity-Time\n Symmetric Coupler

2016/05/11 by Jyoti Prasad Deka, Deka, Jyoti Prasad, Amarendra K. Sarma +1
Physics and Astronomy · #Advanced Fiber Laser Technologies #Chaotic Dynamics (nlin.CD) #Classical Physics (physics.class-ph) #FOS: Physical sciences #Nonlinear Photonic Systems #Optics (physics.optics) #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1605.03566

openalex publication_date 2016/05/11 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We investigate the nonlinear parity-time (PT) symmetric coupler from a\ndynamical perspective. As opposed to linear PT-coupler where the PT threshold\ndictates the evolutionary characteristics of optical power in the two\nwaveguides, in a nonlinear coupler, the PT threshold governs the existence of\nstationary points. We have found that the stability of the ground state\nundergoes a phase transition when the gain/loss coefficient is increased from\nzero to beyond the PT threshold. Moreover, we found that instabilities in\ninitial conditions can lead to aperiodic oscillations as well as exponential\ngrowth and decay of optical power. At the PT threshold, we observed the\nexistence of a stable attractor under the influence of fluctuating gain/loss\ncoefficient. Phase plane analysis has shown us the presence of a toroidal\nchaotic attractor. The chaotic dynamics can be controlled by a judicious choice\nof the waveguide parameters.\n

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