Coexistence of Josephson Oscillations and a Novel Self-Trapping Regime in Optical Waveguide Arrays

Abstract

Considering the coherent nonlinear dynamics between two weakly linked optical waveguide arrays, we find the first example of coexistence of Josephson oscillations with a novel self-trapping regime. This macroscopic bistability is explained by proving analytically the simultaneous existence of symmetric, antisymmetric and asymmetric stationary solutions of the associated GrossPitaevskii equation. The effect is, moreover, illustrated and confirmed by numerical simulations.This property allows to conceive an optical switch based on the variation of the refractive index of the linking central waveguide.

Photonic Josephson effect, phase transitions, and chaos in optomechanical systems

“…At the short time scale, chaos is demonstrated to prevent regular self-trapping, while for longer times a dissipation induced self-trapping effect is possible. [5], and in nonlinear optics [6]. Lately, the possibility to observe the Josephson effect for photons in systems of coupled high Q optical cavities has been discussed [7,8].…”

Нелинейная Динамика В Потенциалах Вида Двойной Прямоугольной Ямы

“…Чтобы охарактеризовать решения уравнений (14) и (15), будем следовать предложенной в работе [29] процедуре, в которой используется непрерывное приближение. Предполагая, что…”

Atomic Population Oscillations for a Bose–einstein Condensate in a Symmetric Three-Well Potential

“…22,23 Resonant phenomena 24 and symmetry breaking phenomenon 25 are also possible to occur between two weakly coupled BEC under the proper conditions. In addition, Khomeriki et al 26 predicted that Josephson oscillations and a novel self-trapping regime can co-exist in two weakly linked optical waveguide arrays, different from behaviors of bosonic Josephson junctions, where the presence of oscillatory or self-trapping regimes is uniquely determined by the parameters of the system. The quantum tunneling of BECs in optical lattices under gravity has also been investigated in both the "Wannier-Stark localization" regime and "Landau-Zener tunneling" regime.…”