STABILITY OF MATTER-WAVE SOLITONS IN QUASI-1D BOSE-EINSTEIN CONDENSATES TRAPPED IN POSCHL-TELLER POTENTIAL SUBJECT TO PERIODIC PERTURBATIONS THROUGH A NUMERICAL APPROACH

被引：0

作者：

Pereira, L. C. ^{[1
]}

Ferreira, J. V. B. ^{[2
]}

Nascimento, V. A. ^{[1
,3
]}

机构：

[1] Univ Fed Mato Grosso do Sul, Inst Fis, Programa Posgrad Ciencia Mat, BR-79070900 Campo Grande, MS, Brazil

[2] Univ Fed Mato Grosso do Sul, Inst Fis, BR-79070900 Campo Grande, MS, Brazil

[3] Univ Fed Mato Grosso do Sul, Fac Med, Grp Spect & Bioinformat Appl Biodivers & Hlth, Sch Med,Postgrad Program Hlth & Dev Midwest Reg, BR-79070900 Campo Grande, MS, Brazil

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2020年 / 21卷 / 03期

关键词：

Bose-Einstein condensates; solitons; Poschl-Teller potential; split-step Crank-Nicolson method; GROSS-PITAEVSKII EQUATION; DARK SOLITONS; BRIGHT; GAS; NONLINEARITY; VORTEX;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We presented for the first time a study regarding the stability of matter-wave solitons in a quasi one-dimensional Bose-Einstein condensate (cigar-shaped) consisting of atoms with attractive interatomic interactions trapped in a Poschl-Teller potential subjected to periodic perturbations. The quasi-one-dimensional Bose-Einstein condensate was modeled by Gross-Pitaevskii equation. A numerical (split-step Crank-Nicolson method) approach has been proposed to investigate the dynamic properties of matter-wave solitons during the temporal evolution of this atomic system. The results obtained in this paper demonstrated the stability of the wave-matter solitons while they were perturbed by periodic oscillations of the Poschl-Teller potential during temporal evolution. The results presented in this paper can open the way for several applications in atomic and molecular physics, condensed matter physics, solid state physics, nonlinear optics and material sciences.

引用

页码：237 / 244

页数：8

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