Boson-Fermion pairing in Bose-Fermi mixtures on 1D optical lattices

TL;DR

This paper investigates boson-fermion pairing in one-dimensional optical lattices, comparing theoretical approximations with exact methods, and confirms the existence of a stable pairing mode at weak coupling.

Contribution

It introduces a detailed analysis of boson-fermion pairing in 1D lattices using multiple computational approaches, highlighting the stability of pairing modes.

Findings

T-matrix approximation agrees well with exact diagonalization and Quantum Monte Carlo results.

A stable, weak-coupling pairing mode is confirmed.

The study enhances understanding of pairing mechanisms in 1D Bose-Fermi mixtures.

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.