Bragg gap solitons in $\mathcal{P}\mathcal{T}$ symmetric lattices with competing nonlinearity

Abstract

The effect of competing nonlinearity on beam dynamics in parity-time $(\mathcal{P}\mathcal{T})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical $\mathcal{P}\mathcal{T}$ symmetric lattices with competing nonlinearity. Meanwhile, the stability of such solitons is analyzed through introducing a small perturbation to the solitary solutions. The abrupt annihilation of the solitons during propagation demonstrates the Bragg gap solitons in $\mathcal{P}\mathcal{T}$ symmetric potentials are not stable. In comparison with the on-site gap solitons, the off-site gap solitons exhibit more robust properties during propagation.

6 pages, 4 figures, 20 references

References in corpus (3)

• Faster than Hermitian Quantum Mechanics
• Stability of solitons in PT-symmetric couplers
• Stabilization of solitons in PT models with supersymmetry by periodic management

Cited by in corpus (6)

• Nonlinear switching and solitons in PT-symmetric photonic systems
• Rational Solitons in the Parity-Time-Symmetric Nonlocal Nonlinear Schrödinger Model
• Nonlinear localized modes in PT-symmetric optical media with competing gain and loss
• Soliton dynamics in symmetric and non-symmetric complex potentials
• Optical vortices induced in nonlinear multilevel atomic vapors
• Gap solitons and symmetry breaking in parity-time symmetric microring CROWs