Shock-induced $\mathcal{P}\mathcal{T}$-symmetric potentials in gas-filled photonic crystal fibers

Abstract

We have investigated the interaction between a strong soliton and a weak probe with certain configurations that allow optical trapping in gas-filled hollow-core photonic crystal fibers in the presence of the shock effect. We have shown theoretically and numerically that the shock term can lead to an unbroken parity-time $\left(\mathcal{P}\mathcal{T}\right)$ symmetry potential in these kinds of fibers. Reciprocity breaking, a remarkable feature of the $\mathcal{P}\mathcal{T}$ symmetry, is also demonstrated numerically. Our results will open different configurations and avenues for observing $\mathcal{P}\mathcal{T}$-symmetry breaking in optical fibers, without the need to resort to cumbersome dissipative structures.

4 pages, 4 figures

References in corpus (3)

• PT-symmetry breaking and laser-absorber modes in optical scattering systems
• Visualization of Branch Points in PT-Symmetric Waveguides
• PT-symmetric optical potentials in a coherent atomic medium

Cited by in corpus (6)

• Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation
• Soliton dynamics in gas-filled hollow-core photonic crystal fibers
• Temporal condensed matter physics in gas-filled photonic crystal fibers
• Strong Raman-induced non-instantaneous soliton interactions in gas-filled photonic crystal fibers
• Nonlinear Schrödinger equations with amplitude-dependent Wadati potentials
• Non-Hermitian two-dimensional photonic crystal flat lens