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Day January 27, 2014

Stochastic PT-symmetric coupler

Vladimir V. Konotop, Dmitry A. Zezyulin

We introduce a stochastic 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 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.

http://arxiv.org/abs/1401.6352
Optics (physics.optics)

Eigenvalues collision for PT-symmetric waveguide

D. Borisov

We consider a model of planar PT-symmetric waveguide and study the phenomenon of the eigenvalues collision under the perturbation of boundary conditions. This phenomenon was discovered numerically in previous works. The main result of this work is an analytic explanation of this phenomenon.

http://arxiv.org/abs/1401.6316
Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)