Defect Solitons in Parity-Time Symmetric Optical Lattices with Nonlocal Nonlinearity

Abstract

The existence and stability of defect solitons in parity-time (PT) symmetric optical lattices with nonlocal nonlinearity are reported. It is found that nonlocality can expand the stability region of defect solitons. For positive or zero defects, fundamental and dipole solitons can exist stably in the semi-infinite gap and the first gap, respectively. For negative defects, fundamental solitons can be stable in both the semi-infinite gap and the first gap, whereas dipole solitons are unstable in the first gap. There exist a maximum degree of nonlocal nonlinearity, above which the fundamental solitons in the semi-infinite gap and the dipole solitons in the first gap do not exist for negative defects. The influence of the imaginary part of the PT-symmetric potentials on soliton stability is given. When the modulation depth of the PT-symmetric lattices is small, defect solitons can be stable for positive and zero defects, even if the PT-symmetric potential is above the phase transition point.

7 pages, 11 Figures, Accepted by Phy.Rev.A

References in corpus (10)

• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• Shocks in nonlocal media
• Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances
• Nonlocality-controlled interaction of spatial solitons in nematic liquid crystals
• Observation of a gradient catastrophe generating solitons
• PT-Symmetric Wave Chaos
• Stability of localized modes in PT-symmetric nonlinear potentials
• Nonlinear switching of low-index defect modes in photonic lattices

Cited by in corpus (12)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Breathers in PT-symmetric optical couplers
• Families of stationary modes in complex potentials
• Nonlocal gap solitons in parity-time symmetric optical lattices
• Tunable nonlinear PT-symmetric defect modes with an atomic cell
• Scattering of gap solitons by PT-symmetric defects
• Optical Solitons in a Trinal-channel Inverted Nonlinear Photonic Crystal
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Quantum Scattering States in a Nonlinear Coherent Medium
• Mobility of nonlocal solitons in fading optical lattices
• Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction