%0 Journal Article
%T Polariton condensation threshold investigation through the numerical resolution of the generalized Gross-Pitaevskii equation
%+ Laboratoire Charles Coulomb (L2C)
%A GARGOUBI, Hamis
%A GUILLET, Thierry
%A Jaziri, Sihem
%A Balti, Jalloul
%A GUIZAL, Brahim
%< avec comitÃ© de lecture
%Z L2C:16-217
%@ 1539-3755
%J Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
%I American Physical Society
%V 94
%P 043310
%8 2016-10-18
%D 2016
%R 10.1103/PhysRevE.94.043310
%K condensation de Bose Einstein Polaritons de micro-cavitÃ©
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Physics [physics]/Quantum Physics [quant-ph]Journal articles
%X 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.
%G English
%L hal-01420542
%U https://hal.archives-ouvertes.fr/hal-01420542
%~ CNRS
%~ TDS-MACS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER