On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates
arXiv:1810.05928 · doi:10.1088/1361-6544/ab2bc1
Abstract
We study a generalized dissipative Gross-Pitaevskii-type model arising in the description of exciton-polariton condensates. We derive global in-time existence results and various a-priori estimates for this model posed on the one-dimensional torus. Moreover, we analyze in detail the long-time behavior of spatially homogenous solutions and their respective steady states and present numerical simulations in the case of more general initial data. We also study the convergence to the corresponding adiabatic regime, which results in a single damped-driven Gross-Pitaveskii equation.
arXiv comment25 pages, 11 figures
References in corpus (8)
- Quantum fluids of light
- Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
- Numerical Solution of the Gross-Pitaevskii Equation for Bose-Einstein Condensation
- Spontaneous rotating vortex lattices in a pumped decaying condensate
- Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
- Stability and spatial coherence of nonresonantly pumped exciton-polariton condensates
- Adiabatic approximation and fluctuations in exciton-polariton condensates
- A Korteweg-de Vries description of dark solitons in polariton superfluids