  The exploration of the Berry phase in classical mechanics has opened new
frontiers in understanding the dynamics of physical systems, analogous to
quantum mechanics. Here, we show controlled accumulation of the Berry phase in
a two-level elastic bit, which are classical counterparts of qubits, achieved
by manipulating coupled granules with external drivers. Employing the Bloch
sphere representation, the paper demonstrates the manipulation of elastic bit
states and the realization of quantum-analogue logic gates. A key achievement
is the calculation of the Berry phase for various system states, revealing
insights into the system's topological nature. Unique to this study is the use
of external parameters to explore topological transitions, contrasting with
traditional approaches focusing on internal system modifications. By linking
the classical and quantum worlds through the Berry phase of an elastic bit,
this work extends the potential applications of topological concepts in
designing new materials and computational models.
