A Korteweg–de Vries description of dark solitons in polariton superfluids
| Autor: | Jesús Cuevas-Maraver, Dimitri J. Frantzeskakis, Ricardo Carretero-González, Theodoros P. Horikis, A. S. Rodrigues, Panayotis G. Kevrekidis |
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| Rok vydání: | 2017 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Field (physics) Condensed Matter::Other Exciton FOS: Physical sciences General Physics and Astronomy Pattern Formation and Solitons (nlin.PS) Rate equation Nonlinear Sciences - Pattern Formation and Solitons 01 natural sciences 010305 fluids & plasmas Superfluidity Nonlinear Sciences::Exactly Solvable and Integrable Systems Quantum mechanics Quantum electrodynamics 0103 physical sciences Polariton Soliton 010306 general physics Wave function Korteweg–de Vries equation Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | Physics Letters A. 381:3805-3811 |
| ISSN: | 0375-9601 |
| Popis: | We study the dynamics of dark solitons in an incoherently pumped exciton-polariton condensate by means of a system composed by a generalized open-dissipative Gross-Pitaevskii equation for the polaritons' wavefunction and a rate equation for the exciton reservoir density. Considering a perturbative regime of sufficiently small reservoir excitations, we use the reductive perturbation method, to reduce the system to a Korteweg-de Vries (KdV) equation with linear loss. This model is used to describe the analytical form and the dynamics of dark solitons. We show that the polariton field supports decaying dark soliton solutions with a decay rate determined analytically in the weak pumping regime. We also find that the dark soliton evolution is accompanied by a shelf, whose dynamics follows qualitatively the effective KdV picture. 15 pages, 6 figures, (accepted for publication in Physics Letters A) |
| Databáze: | OpenAIRE |
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