Dimer states in atomic mixtures

Details Dimer states in atomic mixtures Dimer states in atomic mixtures

2006-12-18

arxiv.org/abs/cond-mat/0612417v2

Phys. Rev. A 77, 013623 (2008)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figure, extended version

Scientific paper

10.1103/PhysRevA.77.013623

A mixture of heavy atoms in a Mott state and light spin-1/2 fermionic atoms is studied in an optical lattice. Inelastic scattering processes between both atomic species excite the heavy atoms and renormalize the tunneling rate as well as the interaction of the light atoms. An effective Hamiltonian for the latter is derived that describes tunneling of single fermions, tunneling of fermionic pairs and an exchange of fermionic spins. Low energy states of this Hamiltonian are a N\'eel state for strong effective repulsion, dimer states for moderate interaction, and a density wave of paired fermions for strong effective attraction.

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