Universal few-body physics in a harmonic trap

Details Universal few-body physics in a harmonic trap Universal few-body physics in a harmonic trap

2010-08-03

arxiv.org/abs/1008.0551v1

Comptes Rendus Physique 12:59-70,2011

Physics

Condensed Matter

Quantum Gases

19 pages, 10 figures

Scientific paper

10.1016/j.crhy.2010.11.011

Few-body systems with resonant short-range interactions display universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a geometric spectrum of three-body Efimov states and a discrete scaling symmetry. Similar universal properties appear in 4-body and possibly higher-body systems as well. We set up an effective theory for few-body systems in a harmonic trap and study the modification of universal physics for 3- and 4-particle systems in external confinement. In particular, we focus on systems where the Efimov effect can occur and investigate the dependence of the 4-body spectrum on the experimental tuning parameters.

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