Pursuing complex optical energy through Exceptional Points of Degeneracy (EPDs)

Abstract

We exploit balancing the complex optical energy between scattering and guiding states at contrived exceptional points of degeneracy in order to form an active waveguide without utilizing an active medium. This study reports peculiar engineering of first-order dispersion on a pseudo-Hermitian Hamiltonian system in which distributed Bragg grating tracks 0^th order of scattering phase-shift. This is owing to the EDPs instigated by means of 1D perturbing PT-symmetries in a planar photonic crystal. The coalescence of Bloch eigenstates occurs due to reverse amalgamation of modulated two-terminal optical component whose gain and loss parameters depends on the direction of the light path. Then, we employed a 1D binary superlattice around a defect that undergoes both states, physical equilibrium (in the bound layer) and non-equilibrium (in unbound layer), in chronological order. Then, recoupling optical energy to the underlying bound region compromises scattering phase-shift in each sequence. This achievement is not only broadening the understanding of revolutionized quantum mechanics but also benefits technological principles of steering localization with high Q-factors that are in huge demands of designing low-threshold switching, optical tweezers, lasing and various types of optical elements in photonic integrated circuits.

References in corpus (22)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Localization transitions in non-Hermitian quantum mechanics
• The physics of exceptional points
• PT-Symmetric Quantum Mechanics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Pseudo-Hermitian Representation of Quantum Mechanics
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Theory of Supercoupling, Squeezing Wave Energy, and Field Confinement in Narrow Channels and Tight Bends Using Epsilon-Near-Zero Metamaterials
• Physical Aspects of Pseudo-Hermitian and $PT$-Symmetric Quantum Mechanics
• Super-reflection and Cloaking Based on Zero Index Metamaterial
• Design of Matched Zero-Index Metamaterials Using Non-Magnetic Inclusions in Epsilon-Near-Zero (ENZ) Media
• Pseudospectra in non-Hermitian quantum mechanics
• Invisibility in non-Hermitian tight-binding lattices
• PT-symmetric Rabi model: Perturbation theory
• Parity-time symmetry breaking in magnetic systems
• Non-Hermitian engineering of single mode two dimensional laser arrays
• Parity-time symmetric coupled asymmetric dimers
• Directionality Fields generated by a Local Hilbert Transform
• Admissible perturbations and false instabilities in PT-symmetric quantum systems
• Scattering phase shift and resonance properties on the lattice: an introduction
• Supersymmetrically bounding of asymmetric states and quantum phase transitions by anti-crossing of symmetric states
• The Use of the Scattering Phase Shift in Resonance Physics