Tunable nonlinear PT-symmetric defect modes with an atomic cell

Abstract

We propose a scheme of creating a tunable highly nonlinear defect in a one-dimensional photonic crystal. The defect consists of an atomic cell filled in with two isotopes of three-level atoms. The probe-field refractive index of the defect can be made parity-time (PT) symmetric, which is achieved by proper combination of a control field and of Stark shifts induced by a far-off-resonance field. In the PT-symmetric system families of stable nonlinear defect modes can be formed by the probe field.

4 pages, 2 figures, to be appeared in Opt. Lett

References in corpus (2)

• Making Sense of Non-Hermitian Hamiltonians
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide

Cited by in corpus (10)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized PT-symmetric Scarff-II potentials
• Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Stochastic $\mathcal{P}\mathcal{T}$-symmetric coupler
• Nonlinear parity-time-symmetric transition in finite-size optical couplers
• Perturbative Unidirectional Invisibility
• Effects of the third-order dispersion on continuous waves in complex potentials
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry