Three-fermion problems in optical lattices

Abstract

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.

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

References in corpus (2)

• Molecules of Fermionic Atoms in an Optical Lattice
• Production of three-body Efimov molecules in an optical lattice

Cited by in corpus (6)

• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Effective Theory for Trapped Few-Fermion Systems
• Trionic phase of ultracold fermions in an optical lattice: A variational study
• Excited Thomas-Efimov levels in ultracold gases
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap