Phys. Rev. Lett. 98, 103202 (2007) [4 pages]Three-Fermion Problems in Optical LatticesReceived 2 June 2006; published 7 March 2007 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 6Li atoms, we find a Borromean state across the region of the distinct pairwise Feshbach resonances. For 40K 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.103202
DOI:
10.1103/PhysRevLett.98.103202
PACS:
34.20.Cf, 03.65.Ge, 05.30.Fk, 21.45.+v
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