Two-component gap solitons with linear interconversion

Two-component gap solitons with linear interconversion

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The interand intraspecies interactions may be either repulsive or attractive. The main effects considered here are spontaneous breaking of the symmetry between components in symmetric and antisymmetric solitons, and spatial splitting bet...

Two-Component Gap Solitons in Self-Defocusing Photonic Crystals

Two-dimensional dissipative gap solitons.

We introduce a model which integrates the complex Ginzburg-Landau equation in two dimensions (2Ds) with the linear-cubic-quintic combination of loss and gain terms, self-defocusing nonlinearity, and a periodic potential. In this system, stable 2D dissipative gap solitons (DGSs) are constructed, both fundamental and vortical ones. The soliton families belong to the first finite band gap of the s...

Observation of two-dimensional nonlocal gap solitons.

We demonstrate, both theoretically and experimentally, the existence of nonlocal gap solitons in two-dimensional periodic photonic structures with defocusing thermal nonlinearity. We employ liquid-infiltrated photonic crystal fibers and show how the system geometry can modify the effective response of a nonlocal medium and the properties of two-dimensional gap solitons.

Linear instability of two-dimensional low-amplitude gap solitons near band edges in periodic media

Zuoqiang Shi, Jiandong Wang, Zhigang Chen, and Jianke Yang* Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, Beijing 100084, China Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05401, USA Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132, USA Received 30 September 2008; published 5 Decemb...