CP symmetry in optical systems

Abstract

We introduce a model of a dual-core optical waveguide with opposite signs of the group-velocity-dispersion (GVD) in the two cores, and a phase-velocity mismatch between them. The coupler is embedded into an active host medium, which provides for the linear coupling of a gain-loss type between the two cores. The same system can be derived, without phenomenological assumptions, by considering the three-wave propagation in a medium with the quadratic nonlinearity, provided that the depletion of the second-harmonic pump is negligible. This linear system offers an optical realization of the charge-parity ($\mathcal{C}\mathcal{P}$) symmetry, while the addition of the intra-core cubic nonlinearity breaks the symmetry. By means of direct simulations and analytical approximations, it is demonstrated that the linear system generates expanding Gaussian states, while the nonlinear one gives rise to broad oscillating solitons, as well as a general family of stable stationary gap solitons.

Physical Review A, in press

References in corpus (27)

• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Observation of Asymmetric Transport in Structures with Active Nonlinearities
• Stability analysis for solitons in PT-symmetric optical lattices
• Stability of solitons in PT-symmetric couplers
• Optical solitons in $\mathcal{P}\mathcal{T}$-symmetric nonlinear couplers with gain and loss
• Spectral singularities and Bragg scattering in complex crystals
• Nonlinear modes in finite-dimensional PT-symmetric systems
• Optical Bistability in Nonlinear Optical Coupler with Negative Index Channel
• Continuous and discrete Schrodinger systems with PT-symmetric nonlinearities
• Solitons in a chain of PT-invariant dimers
• Test of Lorentz and CPT violation with Short Baseline Neutrino Oscillation Excesses
• Zeno effect and switching of solitons in nonlinear couplers
• Stabilization of solitons in PT models with supersymmetry by periodic management
• Stable localized modes in asymmetric waveguides with gain and loss
• Families of stationary modes in complex potentials
• Actively coupled optical waveguides
• Unbreakable PT-symmetry of solitons supported by inhomogeneous defocusing nonlinearity
• Discrete vortex solitons and PT symmetry
• Localized modes in ${\chi }^{(2)}$ media with $\PT$-symmetric localized potential
• Solitons in $\mathcal{P}\mathcal{T}$-symmetric periodic systems with the quadratic nonlinearity
• Propagation and collisions of semi-discrete solitons in arrayed and stacked waveguides
• Electromagnetic interaction in theory with Lorentz invariant CPT violation
• $\mathcal{P}\mathcal{T}$-symmetric coupler with ${\chi }^{(2)}$ nonlinearity
• T and CPT Symmetries in Entangled Neutral Meson Systems
• Breathing solitary-pulse pairs in a linearly coupled system
• Quantum Resource Theory for Charge-Parity-Time Inversion

Cited by in corpus (9)

• Symmetry and Topology in Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Temporal Cavity Solitons in a Laser-based Microcomb: A Path to a Self-Starting Pulsed Laser without Saturable Absorption
• Dynamical control of solitons in a parity-time-symmetric coupler by periodic management
• $CPT$-symmetric coupler with intermodal dispersion
• Discrete gap solitons in binary positive-negative index nonlinear waveguide arrays with strong second-order couplings
• Solitons in a chain of charge-parity-symmetric dimers
• A PT-symmetric dual-core system with the sine-Gordon nonlinearity and derivative coupling
• Discrete solitons dynamics in $\mathcal{P}\mathcal{T}$-symmetric oligomers with complex-valued couplings