Universal bound states of one-dimensional bosons with two- and three-body attractions
Universal bound states of one-dimensional bosons with two- and three-body attractions
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DOI：
10.1103/physreva.97.061603
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发表时间：
2018-03
影响因子：
2.9
通讯作者：
Y. Nishida
中科院分区：
文献类型：
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作者：
Y. Nishida
当量子粒子被限制在较低的维度时，有效的三体相互作用不可避免地出现，并可能导致严重的后果。本文研究了具有弱二体和弱三体相互作用的一维玻色子，预测了当两种相互作用都是吸引时存在两种三体束缚态，并确定了它们的结合能作为二体和三体散射长度的普遍函数。我们也证明了一个无限小的三体吸引只对3,39或更多玻色子诱导激发态。我们在这里的发现与超冷原子实现的广泛的准一维系统直接相关。
When quantum particles are confined into lower dimensions, an effective three-body interaction inevitably arises and may cause significant consequences. Here we study bosons in one dimension with weak two-body and three-body interactions, predict the existence of two three-body bound states when both interactions are attractive, and determine their binding energies as universal functions of the two-body and three-body scattering lengths. We also show that an infinitesimal three-body attraction induces an excited bound state only for 3, 39, or more bosons. Our findings herein have direct relevance to a broad range of quasi-one-dimensional systems realized with ultracold atoms.