Ref HAL: hal-01420542_v1
DOI: 10.1103/PhysRevE.94.043310
WoS: 000386386300012
Exporter : BibTex | endNote
1 Citation
Résumé:

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.