  We study the quench dynamics of interacting bosons on a two-leg flux ladder
by implementing the continuous-time quantum walk and explore the combined
effect of the magnetic field and onsite interaction in the presence of uniform
flux. We show that in the regime of weak interaction, the magnetic field
substantially slows down the spreading of the particles' wavefunction during
the dynamics. However, in the presence of strong interaction, we obtain an
interesting re-entrant behaviour in the dynamics where the radial velocity
associated to the spreading first increases, then decreases, and increases
again as a function of the flux strength. We also find a re-entrant dynamics in
the chiral motion of the particles as a function of interaction for fixed flux
strengths.
