Stochastic $\mathcal{P}\mathcal{T}$-symmetric coupler

Abstract

We introduce a stochastic $\mathcal{P}\mathcal{T}$-symmetric coupler, which is based on dual-core waveguides with fluctuating parameters, such that the gain and the losses are exactly balanced in average. We consider different parametric regimes which correspond to the broken and unbroken $\mathcal{P}\mathcal{T}$ symmetry, as well as to the exceptional point of the underlying deterministic system. We demonstrate that in all the cases the statistically averaged intensity of the field grows. This result holds for either linear or nonlinear coupler and is independent on the type of fluctuations.

5 pages, 3 figures; accepted to Optics Letters

References in corpus (4)

• Making Sense of Non-Hermitian Hamiltonians
• The physics of exceptional points
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide

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• PT-symmetry in nonlinear twisted multi-core fibers
• Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• Control of Power in Parity-Time -Symmetric Lattices
• Resilience of $\mathcal{P}\mathcal{T}$ symmetry against stochasticity in a gain-loss balanced oscillator