Soliton excitations in a polariton condensate with defects

doi:10.1088/1674-1056/27/1/010307

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

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

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Soliton excitations in a polariton condensate with defects

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