We have studied collective spin density excitations of fractional quantum Hall effect (FQHE) in rotating Bose-Einstein condensation for the three filling fractions of first series of Jain's composite fermion sequences. We have considered, short-ranged contact interactions between the Bose atoms as well as long range Coulomb interactions to compare the nature of the spectras with FQHE of electrons. Using Monte Carlo method for finite but large number of particles, the lowest order collective modes of spin-reversed sectors is calculated here, by computing the energy differences of the respective excitons from the fully polarized ground states.

中文翻译：

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稀超冷玻色原子中分数量子霍尔态的集体自旋密度激发

我们研究了旋转玻色-爱因斯坦凝聚中分数量子霍尔效应 (FQHE) 的集体自旋密度激发，用于第一系列耆那教复合费米子序列的三个填充部分。我们已经考虑了玻色原子之间的短程接触相互作用以及长程库仑相互作用，以将光谱的性质与电子的 FQHE 进行比较。对有限但大量粒子使用蒙特卡罗方法，通过计算来自完全极化基态的各个激子的能量差异，这里计算了自旋反转扇区的最低阶集体模式。