  Nontrivial topology in lattices is characterized by invariants--such as the
Zak phase for one dimensional (1D) lattices--derived from wave functions
covering the Brillouin zone. We realized the 1D bipartite Rice-Mele (RM)
lattice using ultracold $^{87}$Rb and focus on lattice configurations
possessing various combinations of chiral, time-reversal and particle-hole
symmetries. We quenched between configurations and used a form of quantum state
tomography, enabled by diabatically tuning lattice parameters, to directly
follow the time evolution of the Zak phase as well as a chiral winding number.
The Zak phase evolves continuously; however, when chiral symmetry transiently
appears in the out-of-equilibrium system, the chiral winding number is well
defined and can take on different integer values. When quenching between two
configurations obeying all three symmetries the Zak phase is time independent;
we confirm the contrasting prediction of [M. McGinley and N. R.Cooper, PRL 121
090401 (2018)] that chiral symmetry is periodically restored, at which times
the winding number changes by $\pm 2$, yielding values that are not present in
the native RM Hamiltonian.
