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Numerical Simulations on Stationary States for Rotating Two-Component Bose-Einstein Condensates

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Abstract

We numerically study stationary states such as ground, symmetric and central vortex states as well as their energy diagrams for rotating two-component Bose-Einstein condensates (BECs), which are stationary solutions of time-independent coupled Gross-Pitaevskii equations with an angular momentum rotational term. We compute these stationary states by using normalized gradient flows with a backward Euler finite difference discretization, which is proved to be efficient and accurate. By using this discretization, we find various ground state configurations with several vortices for the two-component BECs, which are novel but not found in rotating two-component BECs; we also find that the critical angular velocity at which the ground states lose symmetry.

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  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Yunnan, 650221, China

    Hanquan Wang

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  1. Hanquan Wang
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Wang, H. Numerical Simulations on Stationary States for Rotating Two-Component Bose-Einstein Condensates. J Sci Comput 38, 149–163 (2009). https://doi.org/10.1007/s10915-008-9225-5

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  • DOI: https://doi.org/10.1007/s10915-008-9225-5

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