Dynamics of matter-wave dark solitons in two-component Bose–Einstein condensates trapped in the parabolic external potential

Optik ◽  
2021 ◽  
pp. 167853
Author(s):  
Rui Liu ◽  
Yajie Yang
Keyword(s):  
External Potential ◽  
Matter Wave ◽  
Dark Solitons ◽  
Two Component ◽  
Bose Einstein

Generating ring dark solitons in two-component Bose–Einstein condensates

2014 ◽  
Vol 378 (5-6) ◽  
pp. 524-528 ◽  
Author(s):  
Shen-Tong Ji ◽  
Xue-Shen Liu
Keyword(s):  
Dark Solitons ◽  
Two Component ◽  
Bose Einstein

scholarly journals Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose–Einstein condensates

2017 ◽  
Vol 31 (10) ◽  
pp. 1742013 ◽  
Author(s):  
P. G. Kevrekidis ◽  
R. Carretero-González ◽  
D. J. Frantzeskakis
Keyword(s):  
Spectral Properties ◽  
Scattering Length ◽  
Dark Soliton ◽  
Matter Wave ◽  
Dark Solitons ◽  
Linear Limit ◽  
Exponential Instability ◽  
Bose Einstein ◽  
Good Agreement ◽  
Phase Motion

We examine the spectral properties of single and multiple matter-wave dark solitons in Bose–Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. In addition to the large density limit picture previously established for homogeneous nonlinearities, we explore a perturbative analysis in the vicinity of the linear limit, which provides good agreement with the observed spectral modes. Between these two analytically tractable limits, we use numerical computations to fill in the relevant intermediate regime. We find that the scattering length modulation can cause a variety of features absent for homogeneous nonlinearities. Among them, we note the potential oscillatory instability even of the single dark soliton, the potential absence of instabilities in the immediate vicinity of the linear limit for two dark solitons, and the existence of an exponential instability associated with the in-phase motion of three dark solitons.

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