吸引1-D玻色子的激发：束缚与费米子化
Excitations of attractive 1-D bosons: Binding vs. fermionization
摘要：
研究了一维简谐势阱中从弱相互作用到强相互作用的过渡过程中少数玻色子的定态。对于足够的吸引力，出现了三种不同类型的状态：（i）N体束缚态，（ii）较小碎片的束缚态，以及（iii）费米子化的类气体态，即在无限吸引力的极限下映射到理想费米子。讨论了这三类系统的两体关联和动量谱特征，并用可溶性两粒子模型对结果进行了说明。
英文摘要：
The stationary states of few bosons in a one-dimensional harmonic trap are investigated throughout the crossover from weak to strongly attractive interactions. For sufficient attraction, three different classes of states emerge: (i) N-body bound states, (ii) bound states of smaller fragments, and (iii) gas-like states that fermionize, that is, map to ideal fermions in the limit of infinite attraction. The two-body correlations and momentum spectra characteristic of the three classes are discussed, and the results are illustrated using the soluble two-particle model.
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