Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
Other Condensed Matter
2007-09-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0706.4123,
title = {Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap},
author = {J. P. Kestner and L. -M. Duan},
journal= {arXiv preprint arXiv:0706.4123},
year = {2007}
}
Comments
5 pages, 6 figures, typos corrected, references added