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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2016

Polariton condensation threshold investigation through the numerical resolution of the generalized Gross-Pitaevskii equation

Hamis Gargoubi
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Thierry Guillet
Sihem Jaziri
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Jalloul Balti
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Brahim Guizal
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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.
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Dates et versions

hal-01420542 , version 1 (20-12-2016)

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Hamis Gargoubi, Thierry Guillet, Sihem Jaziri, Jalloul Balti, Brahim Guizal. Polariton condensation threshold investigation through the numerical resolution of the generalized Gross-Pitaevskii equation. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2016, 94, pp.043310. ⟨10.1103/PhysRevE.94.043310⟩. ⟨hal-01420542⟩
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