Generalized Efimov effect in one dimension
Other Condensed Matter
2015-11-02 v2 Quantum Gases
Mathematical Physics
math.MP
Quantum Physics
Abstract
We study a one-dimensional quantum problem of two particles interacting with a third one via a scale-invariant subcritically attractive inverse square potential, which can be realized, for example, in a mixture of dipoles and charges confined to one dimension. We find that above a critical mass ratio, this version of the Calogero problem exhibits the generalized Efimov effect, the emergence of discrete scale invariance manifested by a geometric series of three-body bound states with an accumulation point at zero energy.
Cite
@article{arxiv.1506.03856,
title = {Generalized Efimov effect in one dimension},
author = {Sergej Moroz and José P. D'Incao and Dmitry S. Petrov},
journal= {arXiv preprint arXiv:1506.03856},
year = {2015}
}
Comments
5+3 pages, 3 figures, published version