Fermions and Bosons in a Double-Well Potential
A. Bielas and M.M. Maśka
Department of Theoretical Physics, Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland
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The boson-fermion model, describing a mixture of fermions and bosons is analyzed on a small, two-site lattice. The model includes all the on-site Coulomb-type interactions between bosons, between fermions and between fermions and bosons. Additionally, the Hamiltonian includes a term that describes a conversion: of a pair of opposite-spin fermions into a boson and vice versa. We show how this conversion depends on the model parameters.

DOI: 10.12693/APhysPolA.126.A-118
PACS numbers: 67.85.-d, 67.85.Pq, 73.20.Jc