Abstract
Motivated by recent develpoment in the field of quantum information, we study the Shannon information entropy \((S)\) formation in a rotating Bose-Einstein condensate. We obtain numerical solutions of the three-dimensional Gross-Pitaevskii equation. We conclude that with the increase of rotational frequency \(({\Omega })\), the vortex number (Nv) increases, and the system shows more disordered configurations. At the same time, the Landsberg’s order parameter \((\delta )\) exhibits quick decay. We also investigate the dynamics behavior, numerical results show that the total entropy S gradually increases as a function of time t. The order parameter \(\delta \) becomes vanishing even for the upper limit of the rotational frequency \({\Omega }\).
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