Symmetry-breaking Effects for Polariton Condensates in Double-Well Potentials
arXiv:1205.6262 · doi:10.1007/10091_2012_13
Abstract
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.
16 pages, 13 figures
References in corpus (23)
- Observation of Superfluidity of Polaritons in Semiconductor Microcavities
- Quantised Vortices in an Exciton-Polariton Fluid
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Quantum-fluid dynamics of microcavity polaritons
- Spontaneous formation and optical manipulation of extended polariton condensates
- Polariton laser using single micropillar GaAs-GaAlAs semiconductor cavities
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- Observation of bright polariton solitons in a semiconductor microcavity
- Coherent Oscillations in an Exciton-Polariton Josephson Junction
- Single vortex-antivortex pair in an exciton polariton condensate
- Sculpting oscillators with light within a nonlinear quantum fluid
- Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
- Engineering the spatial confinement of exciton-polaritons in semiconductors
- Spatial Coherence of a Polariton Condensate
- Spontaneous symmetry breaking in a nonlinear double-well structure
- Energy Relaxation in a 1-D Polariton Condensate
- Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
- Symmetry-breaking bifurcation in the nonlinear Schrödinger equation with symmetric potentials
- Mode-locking and mode-competition in a non-equilibrium solid-state condensate
- Vortex-antivortex pair dynamics in an exciton-polariton condensate
- The Ginzburg-Landau model of Bose-Einstein condensation of magnons
- Nonlinear Excitations, Stability Inversions and Dissipative Dynamics in Quasi-one-dimensional Polariton Condensates