English

Nonlinear suppression of time-reversals in PT-symmetric optical couplers

Optics 2012-05-23 v1

Abstract

We reveal a generic connection between the effect of time-reversals and nonlinear wave dynamics in systems with parity-time (PT) symmetry, considering a symmetric optical coupler with balanced gain and loss where these effects can be readily observed experimentally. We show that for intensities below a threshold level, the amplitudes oscillate between the waveguides, and the effects of gain and loss are exactly compensated after each period due to {periodic time-reversals}. For intensities above a threshold level, nonlinearity suppresses periodic time-reversals leading to the symmetry breaking and a sharp beam switching to the waveguide with gain. Another nontrivial consequence of linear PT-symmetry is that the threshold intensity remains the same when the input intensities at waveguides with loss and gain are exchanged.

Keywords

Cite

@article{arxiv.1009.5428,
  title  = {Nonlinear suppression of time-reversals in PT-symmetric optical couplers},
  author = {Andrey A. Sukhorukov and Zhiyong Xu and Yuri S. Kivshar},
  journal= {arXiv preprint arXiv:1009.5428},
  year   = {2012}
}

Comments

5 pages, 4 figures