# Stochastic ${\cal PT}$-symmetric coupler

Research paper by Vladimir V. Konotop, Dmitry A. Zezyulin

Indexed on: 24 Jan '14Published on: 24 Jan '14Published in: Physics - Optics

#### Abstract

We introduce a stochastic ${\cal PT}$-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 ${\cal PT}$ 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.