2007/06/30 by J. P. Kestner, L.-M. Duan, L. -M. Duan · 1 citation
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Feshbach resonance #Ground state #Harmonic #Harmonic potential #Lattice (music) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Trap (plumbing) #Wave function #cond-mat.other
paper · pdf · doi:10.1103/physreva.76.033611
published as Phys. Rev. A 76, 033611 (2007) · 5 pages, 6 figures, typos corrected, references added
openalex publication_date 2007/09/19 · arxiv created 2007/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a solution of the three-fermion problem in a harmonic potential across a Feshbach resonance. We compare the spectrum with that of the two-body problem and show that it is energetically unfavorable for the three fermions to occupy one lattice site rather than two. We also demonstrate the existence of an energy level crossing in the ground state with a symmetry change of its wave function, suggesting the possibility of a phase transition for the corresponding many-body case.