Spin-1/2 Fermions: Crossover from Weak
to Strong Attractive Interaction

K. Ziegler

Institut für Physik, Universität Augsburg, Germany

e-mail: ziegler@physik.uni-augsburg.de

Received October 15, 2004

Abstract—The formation and dissociation of bosonic molecules in an optical lattice formed by spin-1/2 fer-
mionic atoms is considered in the presence of an attractive nearest neighbor interaction. A mean-field approx-
imation reveals three different phases at zero temperature: an empty, a condensate, and a Mott-insulating phase.
The density of fermionic atoms and the density of bosonic molecules indicate a characteristic behavior with
respect to the interaction strength that distinguishes a dilute from a dense regime. In particular, the attractive
interaction favors the formation of molecules in the dilute regime and the dissociation of atoms in the dense
regime.

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