|Polariton condensation threshold investigation through the numerical resolution of the generalized Gross-Pitaevskii equation |
(Article) Publié: Physical Review E: Statistical, Nonlinear, And Soft Matter Physics, vol. 94 p.043310 (2016)
Ref HAL: hal-01420542_v1
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We present a numerical approach for the solution of the dissipative Gross-Pitaevskii equation coupled to the reservoir equation governing the exciton-polaritons Bose-Einstein condensation. It is based on the finite difference method applied to space variables and on the fourth order Range-Kutta algorithm applied to the time variable. Nu- merical tests illustrate the stability and accuracy of the proposed scheme. Then results on the behavior of the con- densate under large Gaussian pumping and around the threshold are presented. We determine the threshold through the particular behavior of the self-energy and characterize it by tracking the establishment time of the steady state.