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

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.033611· OSTI ID:21020561

Kestner, J P; Duan, L -M ^[1]

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1. FOCUS Center and MCTP, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109 (United States)

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.

• OSTI ID: 21020561
• Journal Information: Physical Review. A, Vol. 76, Issue 3; Other Information: DOI: 10.1103/PhysRevA.76.033611; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
COMPARATIVE EVALUATIONS
FERMIONS
GROUND STATES
HARMONIC POTENTIAL
MATHEMATICAL SOLUTIONS
PHASE TRANSFORMATIONS
RESONANCE
SPECTRA
SYMMETRY
THREE-BODY PROBLEM
TRAPS
TWO-BODY PROBLEM
WAVE FUNCTIONS