Abstract
We study the tunneling dynamics of a Bose–Fermi superfluid mixture where bosons are confined in a double-well potential and fermions in a harmonic potential symmetrically positioned at the center of the double-well. By focusing on the deep Bose–Einstein condensate side of the inter-fermion Feshbach resonance where the fermions can be well described as molecular bosons, we employ a mean-field method and numerically investigate the dynamical evolution of bosons under different parameters and initial conditions. We find that the interaction with background fermions can enrich the tunneling dynamics of the bosons, and specifically, lead to a re-entrant macroscopic quantum self-trapping state by varying different parameters. Our results can be observed in Bose–Fermi superfluid mixture by tuning interactions via Feshbach resonance and confinement-induced resonance.
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