Few-Body Effects in Cold Atoms and Limit Cycles
arXiv:cond-mat/0612125 · doi:10.1016/j.nuclphysa.2007.03.159
Abstract
Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also occur in many other areas of physics such as nuclear and particle physics. The universal properties include a geometric spectrum of three-body bound states (so-called Efimov states) and log-periodic dependence of low-energy observables on the physical parameters of the system. This behavior is characteristic of a renormalization group limit cycle. We discuss universality in the three- and four-body sectors and give an overview of applications in cold atoms.
arXiv comment7 pages, 3 figures, plenary talk at the 18th International IUPAP Conference on Few-Body Problems in Physics (FB18), Santos, Brazil, August 2006
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