Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap

Details Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap

2007-06-28

arxiv.org/abs/0706.4123v2

Phys. Rev. A 76, 033611 (2007)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 6 figures, typos corrected, references added

Scientific paper

10.1103/PhysRevA.76.033611

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.

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