Phase sensitivity of light dynamics in PT-symmetric couplers |
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Authors: | Sergey V. Suchkov Sergey V. Dmitriev Andrey A. Sukhorukov Igor V. Barashenkov Elina R. Andriyanova Karina M. Badgetdinova Yuri S. Kivshar |
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Affiliation: | 1. Institute for Metals Superplasticity Problems, RAS, Ufa, 450001, Russia 2. Nonlinear Physics Centre, Research School of Physics and Engineering, Australian National University, Canberra, ACT, 0200, Australia 3. Department of Mathematics, University of Cape Town, Rondebosch, 7701, South Africa 4. Faculty of General Sciences, Ufa State Aviation Technical University, Ufa, Russia
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Abstract: | We study the sensitivity of light dynamics to the internal phase of propagating pulses in the two types of $mathcal {PT}$ -symmetric models. The first is a waveguide array with an embedded pair of waveguides with gain and loss, called $mathcal {PT}$ -coupler, and the second is a planar coupler which models a chain of $mathcal {PT}$ -symmetric couplers. For the first model we investigate the soliton scattering on the mode localized on the coupler, while for second model we study the collision of two breathers. For both models we find that the light dynamics is sensitive to the internal phases of the interacting pulses. Particularly, the $mathcal {PT}$ -symmetry breaking can take place or not, depending on the internal phases of two signals having identical other parameters. |
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