Parts | Days | Selection | Search | Updates | Downloads | Help
DY: Fachverband Dynamik und Statistische Physik
DY 25: Nonlinear Stochastic Systems
DY 25.1: Talk
Tuesday, March 17, 2015, 15:00–15:15, BH-N 128
Stability induced by PT-symmetry breaking in stochastic oscillators — •Mirko Lukovic1, Patrick Navez2, Theo Geisel1,3, and Giorgos Tsironis2,4 — 1Max Planck Institute for Dynamics and Self-Organization, Goettingen, Germany — 2Crete Center for Quantum Complexity and Nanotechnology, Heraklion, Greece — 3Institute for Nonlinear Dynamics, University of Goettingen, Germany — 4Department of Physics, University of Crete, Heraklion, Greece
We investigate the effects of dichotomous noise added to the harmonic oscillator in the form of stochastic time-dependent gain and loss phases, whose durations are sampled from two distinct exponential waiting time distributions. We show that this oscillator system is unstable in the special (symmetric) case where the two waiting time distributions are identical and that it stabilizes only after introducing a significant amount of asymmetry (bias), consisting of much longer periods of loss rather than gain. This concept could be applied in the stabilization of light propagation in metamaterials (optical fibres) with random regions of asymmetric active and passive media.