Nonlinear modes and symmetry breaking in rotating double-well potentials

Yongyao Li, Wei Pang, and Boris A. Malomed
Phys. Rev. A 86, 023832 – Published 20 August 2012

Abstract

We study modes trapped in a rotating ring carrying the self-focusing (SF) or self-defocusing (SDF) cubic nonlinearity and double-well potential cos2θ, where θ is the angular coordinate. The model, based on the nonlinear Schrödinger (NLS) equation in the rotating reference frame, describes the light propagation in a twisted pipe waveguide, as well as in other optical settings, and also a Bose-Einstein condensate (BEC) trapped in a torus and dragged by the rotating potential. In the SF and SDF regimes, five and four trapped modes of different symmetries are found, respectively. The shapes and stability of the modes and the transitions between them are studied in the first rotational Brillouin zone. In the SF regime, two symmetry-breaking transitions are found, of subcritical and supercritical types. In the SDF regime, an antisymmetry-breaking transition occurs. Ground states are identified in both the SF and SDF systems.

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  • Received 5 July 2012

DOI:https://doi.org/10.1103/PhysRevA.86.023832

©2012 American Physical Society

Authors & Affiliations

Yongyao Li1,2, Wei Pang3, and Boris A. Malomed1,*

  • 1Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978, Israel
  • 2Department of Applied Physics, South China Agricultural University, Guangzhou 510642, China
  • 3Department of Experiment Teaching, Guangdong University of Technology, Guangzhou 510006, China.

  • *malomed@post.tau.ac.il

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Vol. 86, Iss. 2 — August 2012

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