Extended Data Fig. 8: Driven-dissipative Gross–Pitaevskii calculation of polariton condensation into topological edge mode.
a, Band structure of polaritons in a honeycomb lattice. The dotted curves represent the dispersion of the linear eigenmodes of a strip, colour-coded to represent localization on the bottom edge (red), upper edge (green) and in the bulk (blue). The shaded region represents the energy and momentum of the polariton steady state obtained from solving the driven-dissipative Gross–Pitaevskii equation. b, Imaginary components of the linear eigenmodes. The largest imaginary part corresponds to an edge state (the colour coding is the same as in a), suggesting that the edge state is most likely to be populated with increasing pumping. c, Edge state obtained from solution of the driven-dissipative Gross–Pitaevskii equation. Parameters: Δeff = 0.3 meV, βeff = 0.2 meV μm2. The effective mass m was taken as 1.3 × 10−4 of the free electron mass; the potential of depth 0.5 meV was constructed from a honeycomb lattice of cylinders of radius 1 μm and centre-to-centre separation 1.7 μm; the pump spot was taken as a Gaussian centred on the strip edge with extent 7.5 μm in the y direction. A spatially uniform decay rate of 0.2 meV was supplemented with a 1.7 meV decay in the region outside the cylinders.
