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Journal of applied physical science international

DYNAMICAL EVOLUTION OF VORTEX SOLITONS IN TWO-COMPONENT BOSE-EINSTEIN CONDENSATES

Siqing He, Shifeng Li, Ying Wang, Wei Wang

Published Aug 14, 2017• 0 citations
OpenAlex

Abstract

We study the evolution of vortex solitons in two-component Bose-Einstein condensates (BEC) trapped with harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, We derived the analytical vortex soliton solution that is stable under certain parametric setting. The evolutionary pattern of the vortex soliton is pictorially demonstrated showing the periodic oscillatory behavior of the systems’s distribution width. The theoretical results obtained can be used to guide corresponding vortex soliton observation in two-component BEC systems.

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We study the evolution of vortex solitons in two-component Bose-Einstein condensates (BEC) trapped with harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, We derived the analytical vortex soliton solution that is stable under certain parametric setting. The evolutionary pattern of the vortex soliton is pictorially demonstrated showing the periodic oscillatory behavior of the systems’s distribution width. The theoretical results obtained can be used to guide corresponding vortex soliton observation in two-component BEC systems.
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Abstract We investigate solitary vortex evolution in two-dimensional Bose-Einstein condensates based on the Gross-Pitaevskii equation model. Through the variational method, together with the novel Gaussian ansatz incorporating asymmetric perturbation effects, we arrive at the analytical solitary vortex solution with two typical forms: a symmetric quasi-stable solution under certain parametric settings and a diverging propagation case arising from an initial asymmetric perturbation. The derived pictorial evolutionary patterns of the solitary vortices are compared with those from a pure numerical analysis, and by identifying the key qualitative features, we show the applicability of the theoretical treatment presented here.
In this study, we investigate the evolution of vortex in harmonically trapped two-component coupled Bose–Einstein condensate with quintic-order nonlinearity. We derive the vortex solution of this two-component system based on the coupled quintic-order Gross–Pitaevskii equation model and the variational method. It is found that the evolution of vortex is a metastable state. The radius of vortex soliton shrinks and expands with time, resulting in periodic breathing oscillation, and the angular frequency of the breathing oscillation is twice the value of the harmonic trapping frequency under infinitesimal nonlinear strength. At the same time, it is also found that the higher-order nonlinear term has a quantitative effect rather than a qualitative impact on the oscillation period. With practical experimental setting, we identify the quasi-stable oscillation of the derived vortex evolution mode and illustrated its features graphically. The theoretical results developed in this work can be used to guide the experimental observation of the vortex phenomenon in ultracold coupled atomic systems with quintic-order nonlinearity.
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We studied the evolution of an asymmetric solitary vortex in a two-dimensional Bose-Einstein condensate starting from a quasi-one dimensional state with external harmonic trapping potential modulation. We derived the analytical solution of the asymmetric solitary vortex based on the two-dimensional Gross-Pitaevskii equation model and variational method. Furthermore, we identified the oscillation mode between the extreme asymmetric state and circular symmetric state for the derived solitary vortex. The obtained theoretical results can be used as guides for relevant experimental studies of asymmetric solitary vortices under similar physical conditions.
We studied the evolutionary patterns of two-dimensional Bose-Einstein condensates incorporating higher-order nonlinear interactions in harmonic potential. Using the Gross-Pitaevskii equation model with higher-order nonlinear corrections, we derived the analytical solitary vortex solutions via the variational method. The impact of the higher-order nonlinear interaction on the vortex dynamics is quantitatively analyzed, showing its key nonlinear feature contribution in the asymmetric vortex evolution with more precise evolutionary pattern generated. We found that, for the circular symmetric solution, if the nonlinear strength is not high, the higher-order nonlinear corrections essentially have only a tiny perturbative effect on the system’s quasi-static oscillation state, whereas for asymmetric evolution of the solitary vortex, incorporating higher-order corrections will generate an evolution pattern that better matches the results of numerical simulation. The theoretical results derived here can be used to guide relevant experimental studies of higher-order nonlinear effects in ultracold atomic systems.