We investigate solitary vortex evolution in two-dimensional Bose-Einstein condensates based on the GrossPitaevskii equation model. Through the variational method, together with the novel Gaussian ansatz incorporating ...We investigate solitary vortex evolution in two-dimensional Bose-Einstein condensates based on the GrossPitaevskii 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.展开更多
基金Supported by the National Natural Science Foundation(NSF)of China under Grant Nos.11547024,11791240178,and 11674338
文摘We investigate solitary vortex evolution in two-dimensional Bose-Einstein condensates based on the GrossPitaevskii 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.
