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PT-symmetric couplers with competing cubic-quintic nonlinearities
Gennadiy Burlak1, Salomon Garcia-Paredes1, Boris A Malomed2
1Centro de Investigación en Ingeniería y Ciencias Aplicadas, Universidad Autónoma del Estado de Morelos, Av. Universidad 1001, Cuernavaca, Morelos 62210, Mexico.
Chaos (Woodbury, N.Y.)
|December 3, 2016
Summary
We modeled parity-time (PT) symmetric couplers with gain/loss and cubic-quintic nonlinearity. PT-symmetric solitons exhibit complex stability behavior, becoming unstable then stable again with increasing energy.
Area of Science:
- Nonlinear optics
- Quantum mechanics
- Waveguide theory
Background:
- Parity-time (PT) symmetry offers unique possibilities for controlling wave propagation.
- Optical couplers with cubic-quintic nonlinearity are crucial for soliton formation.
- Understanding soliton stability in PT-symmetric systems is vital for applications.
Purpose of the Study:
- To develop a 1D model of a PT-symmetric coupler with balanced gain/loss and cubic-quintic nonlinearity.
- To investigate the stability of PT-symmetric solitons in this system.
- To explore the dynamics of unstable solitons and their interactions.
Main Methods:
- Development of a one-dimensional theoretical model.
- Analysis of stationary solutions and bifurcation loops.
- Numerical simulations to study soliton stability and evolution.
Main Results:
- PT-symmetric solitons share stationary solutions with ordinary couplers.
- Soliton stability is influenced by PT symmetry, coupling, and nonlinear terms.
- Solitons destabilize then restabilize with increasing energy; PT symmetry can become unbreakable.
- PT-antisymmetric solitons are unstable; unstable soliton evolution leads to quasi-turbulent patterns.
- Collisions between stable solitons are quasi-elastic.
Conclusions:
- The interplay of PT symmetry and competing nonlinearities dictates soliton stability.
- Complex stability landscapes exist for PT-symmetric solitons, with potential for unbreakable PT symmetry.
- Unstable soliton dynamics can lead to pattern formation and quasi-elastic collisions.
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