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

TL;DR

This paper shows that classical two-state systems can replicate quantum dynamical phenomena like LZSM interferometry, latching modulation, and motional averaging, enabling classical analogues of quantum simulations using mechanical, electrical, or optical resonators.

Contribution

It demonstrates that classical systems can exhibit quantum-like dynamical effects, providing a new approach for classical simulation of quantum phenomena.

Findings

Classical systems can mimic quantum LZSM interferometry.

Classical resonators can reproduce effects like latching modulation.

Classical dynamics can simulate motional averaging phenomena.

Abstract

A quantum system can be driven by either sinusoidal, rectangular, or noisy signals. In the literature, these regimes are referred to as Landau-Zener-Stuckelberg-Majorana (LZSM) interferometry, latching modulation, and motional averaging, respectively. We demonstrate that these pronounced and interesting effects are also inherent in the dynamics of classical two-state systems. We discuss how such classical systems are realized using either mechanical, electrical, or optical resonators. In addition to the fundamental interest of such dynamical phenomena linking classical and quantum physics, we believe that these are attractive for the classical analogue simulation of quantum systems.