  We investigate the quench dynamics in the dipolar Bose-Hubbard model in one
dimension where the boson hopping is constrained by dipole conservation and
show fractonic dynamics. Quench processes that start deep in the Mott phase and
end in the weak Mott phase show light-cone-like spreading in the dipole
correlation function but not in the single-boson correlator, which is
suppressed due to the dipole conservation. The phase and the group velocities
estimated from the dilute-dipolon approximation are in excellent agreement with
those of the Time-Dependent Variational Principle method. The quench from the
dipole-condensed (DC) phase to the Mott phase shows periodic kinks in the
Loschmidt echo and the demise and revival of Bose-condensed peaks in the dipole
momentum distribution function, both of which are noted features of dynamical
quantum phase transition. The Mott-to-DC quench, on the other hand, shows none
of these features despite the quench parameters varying across the equilibrium
quantum critical point. Our findings on the fractonic quench dynamics can be
checked in the tilted optical lattice experiment.

Quantum Gases;Other Condensed Matter;Strongly Correlated Electrons