Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-10-06
Phys. Rev. 85, 025601 (2012)
Physics
Condensed Matter
Quantum Gases
5 pages, 4 figures, final version
Scientific paper
10.1103/PhysRevA.85.025601
We consider bound states of asymmetric three-body systems confined to two dimensions. In the universal regime, two energy ratios and two mass ratios provide complete knowledge of the three-body energy measured in units of one two-body energy. The lowest number of stable bound states is produced when one mass is larger than two similar masses. We focus on selected asymmetric systems of interest in cold atom physics. The scaled three-body energy and the two scaled two-body energies are related through an equation for a supercircle whose radius increases almost linearly with three-body energy. The exponents exhibit an increasing behavior with three-body energy. The mass dependence is highly non-trivial. We give a simple relation that predicts the universal three-body energy.
Bellotti Filipe F.
Fedorov Dmitry V.
Frederico Tobias
Jensen Andreas Schmidt
Yamashita M. T.
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