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A quantum system can be driven by either sinusoidal, rectangular, or noisysignals. In the literature, these regimes are referred to asLandau-Zener-Stuckelberg-Majorana (LZSM) interferometry, latching modulation,and motional averaging, respectively. We demonstrate that these pronounced andinteresting effects are also inherent in the dynamics of classical two-statesystems. We discuss how such classical systems are realized using eithermechanical, electrical, or optical resonators. In addition to the fundamentalinterest of such dynamical phenomena linking classical and quantum physics, webelieve that these are attractive for the classical analogue simulation ofquantum systems.

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Simulating quantum dynamical phenomena using classical oscillators:  Landau-Zener-Stuckelberg-Majorana interferometry, latching modulation, and  motional averaging