Three-fermion problems in optical lattices

Details Three-fermion problems in optical lattices Three-fermion problems in optical lattices

2006-06-02

arxiv.org/abs/cond-mat/0606069v2

Phys.Rev.Lett.98:103202,2007

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures, minor changes, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.98.103202

We present exact results for the spectra of three fermionic atoms in a single well of an optical lattice. For the three lowest hyperfine states of Li6 atoms, we find a Borromean state across the region of the distinct pairwise Feshbach resonances. For K40 atoms, nearby Feshbach resonances are known for two of the pairs, and a bound three-body state develops towards the positive scattering-length side. In addition, we study the sensitivity of our results to atomic details. The predicted few-body phenomena can be realized in optical lattices in the limit of low tunneling.

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