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We consider ultracold atoms trapped in a toroidal trap with an azimuthallattice for utility as a macroscopic simulator of quantum optics phenomena. Weexamine the dynamics induced by the adiabatic introduction of the lattice thatserves to couple the normal modes, as an analog of a laser field couplingelectronic states. The system is found to display two distinct behaviors,manifest in the angular momentum - coherent oscillation and self-trapping -reminiscent of non-linear dynamics, yet not requiring interatomic interactions.The choice is set by the interplay of discrete parameters, the specific initialmode and the periodicity of the lattice. However, rotation can cause continuoustransition between the two regimes, causing periodic quenches and revivals inthe oscillations as a function of the angular velocity. Curiously, the impactof rotation is determined entirely by the energy spectrum in the absence of thelattice, a feature that can be attributed to adiabaticity. We assess theeffects of varying the lattice parameters, and consider applications inrotation sensing.

Rotation Sensitive Quench and Revival of Coherent Oscillations in a Ring Lattice