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Updated: Apr 15, 2026
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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Staggered parity-time-symmetric ladders with cubic nonlinearity
Jennie D'Ambroise1, P G Kevrekidis2, Boris A Malomed3
1Department of Mathematics and Statistics, Amherst College, Amherst, Massachusetts 01002-5000, USA.
Summary
We present a novel ladder-shaped chain with staggered parity-time (PT) symmetric gain-loss dimers. This structure supports stable PT-symmetric discrete solitons in optical waveguide arrays.
Area of Science:
- Nonlinear Optics
- Quantum Physics
- Condensed Matter Theory
Background:
- Parity-time (PT) symmetry offers unique properties in optical systems.
- Discrete nonlinear systems exhibit complex soliton dynamics.
- Ladder-shaped structures provide a platform for novel PT-symmetric designs.
Purpose of the Study:
- To introduce and analyze a new ladder-shaped PT-symmetric system.
- To investigate the existence and stability of PT-symmetric discrete solitons.
- To explore the dynamics of these solitons under varying coupling strengths.
Main Methods:
- Analytical solutions in the anticontinuum limit.
- Newton's method for solution continuation.
- Numerical simulations for stability analysis and dynamics.
Main Results:
- Construction of PT-symmetric discrete soliton families.
- Identification of soliton stability regions.
- Characterization of single and double excited rung waveforms.
- Investigation of unstable soliton dynamics.
Conclusions:
- The proposed ladder-shaped PT-symmetric system is the simplest for bidirectional PT symmetry.
- Stable PT-symmetric discrete solitons exist and their properties are characterized.
- The system offers a promising platform for exploring nonlinear PT-symmetric phenomena in optical waveguide arrays.
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