Non-Hermitian coupled-mode theory for incoherently pumped exciton-polariton condensates
arXiv:1608.07557 · doi:10.1103/PhysRevA.94.053856
Abstract
The generalized Gross-Pitaevskii equation (gGPE) is an effective phenomenological description for the dynamics of incoherently pumped exciton-polariton condensates. However, a brute force numerical simulation of the gGPE provides little physical insight into condensate formation under arbitrary pumping configurations, and is demanding in terms of computational resources. We introduce in this paper a modal description of polariton condensation under incoherent pumping of arbitrary spatial profile, based on eigenmodes of the non-Hermitian generator of the linearized dynamics. A pump-dependent basis is then introduced to formulate a temporal coupled-mode theory that captures condensate dynamics in the presence of all nonlinear interactions. Simulations using a single set of modes for a given pumping and trapping configuration agree very well with a full integration of the gGPE in diverse dynamical regimes, supporting the validity of this modal description, while also providing a speedup in simulation times.
arXiv comment17 pages, 12 figures; updated to published version
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Cited by in corpus (8)
- Quantum Synchronization Blockade: Energy Quantization hinders Synchronization of Identical Oscillators
- Chiral modes at exceptional points in exciton-polariton quantum fluids
- Stable Switching among High-Order Modes in Polariton Condensates
- Polariton-Enhanced Exciton Transport
- Reservoir optics with exciton-polariton condensates
- Competing role of interactions in synchronization of exciton-polariton condensates
- Non-Hermitian interaction of a discrete state with a continuum
- Complex Coupled Mode theory (C-CMT) of planar multilayer waveguides