Universal bound states of one-dimensional bosons with two- and three-body attractions
arXiv:1803.06759 · doi:10.1103/PhysRevA.97.061603
Abstract
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.
6 pages, 3 figures; published version with more results for N>3 bosons
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