Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials

  • A. S. Rodrigues
  • P. G. Kevrekidis
  • J. Cuevas
  • R. Carretero-González
  • D. J. Frantzeskakis
Part of the Progress in Optical Science and Photonics book series (POSP, volume 1)


We study the existence, stability, and dynamics of symmetric and anti-symmetric states of quasi-one-dimensional polariton condensates in double-well potentials, in the presence of nonresonant pumping and nonlinear damping. Some prototypical features of the system, such as the bifurcation of asymmetric solutions, are similar to the Hamiltonian analog of the double-well system considered in the realm of atomic condensates. Nevertheless, there are also some nontrivial differences including, e.g., the unstable nature of both the parent and the daughter branch emerging in the relevant pitchfork bifurcation for slightly larger values of atom numbers. Another interesting feature that does not appear in the atomic condensate case is that the bifurcation for attractive interactions is slightly sub-critical instead of supercritical. These conclusions of the bifurcation analysis are corroborated by direct numerical simulations examining the dynamics of the system in the unstable regime.


Hopf Bifurcation Direct Numerical Simulation Asymmetric State Asymmetric Solution Josephson Oscillation 



J.C. acknowledges financial support from the MICINN project FIS2008-04848. P.G.K. and R.C.G. gratefully acknowledge support from the National Science Foundation under grant DMS-0806762. P.G.K. also acknowledges support the Alexander von Humboldt and Binational Science Foundations. The work of D.J.F. was partially supported by the Special Account for Research Grants of the University of Athens.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • A. S. Rodrigues
    • 1
  • P. G. Kevrekidis
    • 2
  • J. Cuevas
    • 3
  • R. Carretero-González
    • 4
  • D. J. Frantzeskakis
    • 5
  1. 1.Departamento de Física/CFP, Faculdade de CiênciasUniversidade do PortoPortoPortugal
  2. 2.Department of Mathematics and StatisticsUniversity of MassachusettsAmherstUSA
  3. 3.Grupo de Física No Lineal, Departamento de Física Aplicada I, Escuela Politécnica SuperiorUniversidad de SevillaSevillaSpain
  4. 4.Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, Computational Science Research CenterSan Diego State UniversitySan DiegoUSA
  5. 5.Department of PhysicsUniversity of AthensAthensGreece

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