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Fundamental modes in waveguide pipe twisted by saturated double-well potential |
Gui-Hua Chen1,Hong-Cheng Wang1,*(),Zhao-Pin Chen2,Yan Liu3,*() |
1. Department of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China 2. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978, Israel 3. Department of Applied Physics, South China Agricultural University, Guangzhou 510642, China |
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Abstract We study fundamental modes trapped in a rotating ring with a saturated nonlinear double-well potential. This model, which is based on the nonlinear Schrödinger equation, can be constructed in a twisted waveguide pipe in terms of light propagation, or in a Bose–Einstein condensate (BEC) loaded into a toroidal trap under a combination of a rotating-out-of-phase linear potential and nonlinear pseudopotential induced by means of a rotating optical field and the Feshbach resonance. Three types of fundamental modes are identified in this model, one symmetric and the other two asymmetric. The shape and stability of the modes and the transitions between different modes are investigated in the first rotational Brillouin zone. A similar model used a Kerr medium to build its nonlinear potential, but we replace it with a saturated nonlinear medium. The model exhibits not only symmetry breaking, but also symmetry recovery. A specific type of unstable asymmetric mode is also found, and the evolution of the unstable asymmetric mode features Josephson oscillation between two linear wells. By considering the model as a configuration of a BEC system, the ground state mode is identified among these three types, which characterize a specific distribution of the BEC atoms around the trap.
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Keywords
Twisted double-well waveguide
saturated nonlinear potential
symmetry breaking
symmetry recovery
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Corresponding Author(s):
Hong-Cheng Wang,Yan Liu
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Issue Date: 16 August 2016
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