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On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates

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posted on 22.03.2021, 21:45 by P Antonelli, P Markowich, R Obermeyer, J Sierra, C Sparber
© 2019 IOP Publishing Ltd & London Mathematical Society. We study a generalized dissipative Gross-Pitaevskii-type model arising in the description of exciton-polariton condensates. We derive global in-time existence results and various a priori estimates for this model posed on the one-dimensional torus. Moreover, we analyze in detail the long-time behavior of spatially homogenous solutions and their respective steady states and present numerical simulations in the case of more general initial data. We also study the convergence to the corresponding adiabatic regime, which results in a single damped-driven Gross-Pitaveskii equation.

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CAREER: Adiabatic theory for nonlinear Schrodinger equations with applications in complex quantum systems

Directorate for Mathematical & Physical Sciences

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Publisher Statement

This is an author-created, un-copyedited version of an article accepted for publication/published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/ab2bc1

Citation

Antonelli, P., Markowich, P., Obermeyer, R., Sierra, J.Sparber, C. (2019). On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates. Nonlinearity, 32(11), 4317-4345. https://doi.org/10.1088/1361-6544/ab2bc1

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IOP Publishing

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0951-7715