  Quantum Hall effects provide intuitive ways of revealing the topology in
crystals, i.e., each quantized "step" represents a distinct topological state.
Here, we seek a counterpart for "visualizing" quantum geometry, which is a
broader concept. We show how geometry emerges in quantum as an intrinsic
consequence of unitary evolution, independent of specific details or
approximations, suggesting quantum geometry may have widespread applicability.
Indeed, we exemplify geometric observables, such as oscillation, dephasing, in
spin and band scenarios. These phenomena are robust owing to the continuity of
geometry, and can be tuned by geometric parameters. Anomalies, supported by
both analytic and numerical solutions, underscore the advantages of adopting a
geometric perspective, potentially yielding distinguishable experimental
signatures.
