2012/01/01 by A. S. Rodrigues, P. G. Kevrekidis, J. Cuevas +3
Engineering · Mathematics · Physics and Astronomy · #Bifurcation #Bifurcation theory #Classical mechanics #Condensed matter physics #Hamiltonian (control theory) #Mathematics #Nonlinear system #Physics #Pitchfork bifurcation #Polariton #Quantum and electron transport phenomena #Quantum mechanics #Strong Light-Matter Interactions #Supercritical fluid #Symmetry breaking #Thermal Radiation and Cooling Technologies #Thermodynamics #Transcritical bifurcation #cond-mat.other #nlin.PS
paper · pdf · doi:10.1007/10091_2012_13
published as Progress in Optical Science and Photonics, 1 (2013) 509-529 · 16 pages, 13 figures
openalex publication_date 2012/01/01 · arxiv created 2012/05/29 · arxiv updated 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.