Regular Article

Tunneling dynamics of a Bose–Fermi superfluid mixture

¹ Department of Physics, Renmin University of China, Beijing 100872, P.R. China
² Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872, P.R. China

^a e-mail: siang.zhang@ruc.edu.cn
^b e-mail: wzhangl@ruc.edu.cn

Received: 27 November 2018
Received in final form: 14 January 2019
Published online: 1 June 2019

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.