科研之友
微信
新浪微博
Facebook
分享链接
摘要
The Efimov effect was first predicted for three particles interacting at an s-wave resonance in three dimensions. A subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed dimensions. In this work, we consider the three-body problem of two bosonic A atoms interacting with another single B atom in mixed dimensions: The A atoms are confined in a space of dimension d(A) and the B atom in a space of dimension d(B), and there is an interspecies s-wave interaction in a d(int)-codimensional space accessible to both species. We find that when the s-wave interaction is tuned on resonance, there emerge an infinite series of universal three-body bound states for {d(A), d(B), d(int)} = {2,2,0} and {2,3,1}. Going beyond the Efimov paradigm, the binding energies of these states follow the scaling ln | E-n| similar to -s(n pi - theta)(2)/ 4, with the scaling factor s being unity for the former case and root mB (2m(A) + m(B))/( m(A) + m(B)) for the latter. We discuss the possibility of realizing our mixed-dimensional systems in a cold-atom experiment and how the effects of these universal three-body bound states may be detected.
