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Chin. Phys. B, 2018, Vol. 27(1): 010307    DOI: 10.1088/1674-1056/27/1/010307
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Soliton excitations in a polariton condensate with defects

Abderahim Mahmoud Belounis, Salem Kessal
SNIRM Laboratory, Faculty of Physics, Universite des Sciences et de la Technologie Houari Boumediene(USTHB), P. O. Box 32 El Alia, Bab Ezzouar, 16111 Algiers, Algeria
Abstract  To study soliton excitations in a polariton condensate with defects, we use the Gross-Pitaevskii equation and its hydrodynamic form. An extra term is added to take into account the non-equilibrium nature of the polariton condensate and the presence of defects. The reductive perturbation method transforms these hydrodynamic equations into a modified Korteweg-de Vries equation in the long wavelength limit. We linearize this equation and study the soliton linear excitations. We give an analytic expression of traveling excitations using the variation of constants method. In the more general form, we show numerically that the excitations are oscillations, i.e., the amplitude and the width of the dark soliton oscillate simultaneously but in an opposite way.
Keywords:  solitons      polariton condensates      reductive perturbation method  
Received:  12 May 2017      Revised:  17 August 2017      Accepted manuscript online: 
PACS:  03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)  
  05.45.Yv (Solitons)  
  47.37.+q (Hydrodynamic aspects of superfluidity; quantum fluids)  
  71.36.+c (Polaritons (including photon-phonon and photon-magnon interactions))  
Corresponding Authors:  Abderahim Mahmoud Belounis     E-mail:  ambelounis@usthb.dz

Cite this article: 

Abderahim Mahmoud Belounis, Salem Kessal Soliton excitations in a polariton condensate with defects 2018 Chin. Phys. B 27 010307

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