Boson-fermion pairing in Bose-Fermi mixtures on one-dimensional optical lattices

Abstract

Boson-fermion pairing is considered in a discrete environment of bosons and fully spin-polarized fermions, coupled via an attractive Bose-Fermi Hubbard Hamiltonian in one dimension. The results of the $T$-matrix approximation for particles of equal mass and at double half-filling are compared with the results of exact diagonalization and with quantum Monte Carlo results. Satisfactory agreement for most quantities is found. The appearance of a stable, weak-coupling pairing mode is also confirmed.