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

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Cited by in corpus (19)

• Feshbach Resonances in Ultracold Gases
• 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
• Symmetries of Three Harmonically-Trapped Particles in One Dimension
• Lattice methods for strongly interacting many-body systems
• Independent Control of Scattering Lengths in Multicomponent Quantum Gases
• Nucleon-Nucleon Scattering in a Harmonic Potential
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• 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
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Universal few-body physics in a harmonic trap
• Exactly solvable models and ultracold Fermi gases
• Effective interactions and operators in no-core shell model
• Three component fermion pairing in two dimensions
• Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap
• Density profiles and density oscillations of an interacting three-component normal Fermi gas