Soliton excitations in a polariton condensate with defects

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

中国物理B ›› 2018, Vol. 27 ›› Issue (1): 10307-010307.doi: 10.1088/1674-1056/27/1/010307

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

收稿日期:2017-05-12 修回日期:2017-08-17 出版日期:2018-01-05 发布日期:2018-01-05
通讯作者: Abderahim Mahmoud Belounis E-mail:ambelounis@usthb.dz

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

Received:2017-05-12 Revised:2017-08-17 Online:2018-01-05 Published:2018-01-05
Contact: Abderahim Mahmoud Belounis E-mail:ambelounis@usthb.dz

摘要/Abstract

摘要： 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.

关键词: solitons, polariton condensates, reductive perturbation method

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.

Key words: solitons, polariton condensates, reductive perturbation method

中图分类号: (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

03.75.Kk

05.45.Yv (Solitons) 47.37.+q (Hydrodynamic aspects of superfluidity; quantum fluids) 71.36.+c (Polaritons (including photon-phonon and photon-magnon interactions))

Abderahim Mahmoud Belounis,Salem Kessal. Soliton excitations in a polariton condensate with defects[J]. 中国物理B, 2018, 27(1): 10307-010307.

Abderahim Mahmoud Belounis, Salem Kessal. Soliton excitations in a polariton condensate with defects[J]. Chin. Phys. B, 2018, 27(1): 10307-010307.

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Soliton excitations in a polariton condensate with defects

Soliton excitations in a polariton condensate with defects

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