Dynamics of the Center of Mass in Rotating Bose-Einstein Condensates
In this paper, we derive the analytical solution for a second-order ordinary differential system which governs the motion of thecenter of mass in the dynamics of a stationary state with its center shifted. A leap-frog Fourier pseudospectral (LFFP) methodis presented for efficient and accurate numerical simulations of the Gross-Pitaevskii equation (GPE) with an angular momentumrotation term. Different motion patterns for the center of mass are observed and classified from the analytical solution and confirmedby directly simulating the GPE. To show the effectiveness of the LFFP method, the dynamics of vortex lattices are studied, and thenumerical results demonstrate the efficiency and extremely high resolution of our method.
Y. Zhang and W. Bao, "Dynamics of the Center of Mass in Rotating Bose-Einstein Condensates," Applied Numerical Mathematics, Elsevier, Jan 2007.
The definitive version is available at http://dx.doi.org/10.1016/j.apnum.2006.07.011
Mathematics and Statistics
Keywords and Phrases
Rotating Bose-Einstein condensate; Gross-Pitaevkii equation; stationary state; angular momentum rotation; center of mass; quantized vortex lattice
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