Density probabilities of a Bose-Fermi mixture in 1D double well potential

Abstract

We use the two mode approximation for a interacting one-dimensional spinless soft core bosons and one half spin fermions in a double-well potential with a large central barrier. We include all the on-site boson-boson, fermion-fermion and boson-fermion repulsive contact potential represented by delta-function and considered bosonic and fermionic isotopes of ytterbium(Yb) ¹⁷⁰Yb and ¹⁷¹Yb respectively. By means of this approximation, we find that in the regime λ_BF > λ_BB give rise to a immiscible phase and in the regime λ_BB ≥ λ_BF give rise to a miscible phase, that is characterized by a temporal overlap of the bosonic and fermionic probability densities. We also report that due to the Bose-Fermi interaction, the system presents an apparent destruction of the collapse-revival oscillation of boson density probability at least in the ranges investigated.