Visualized Wave Mechanics by Coupled Macroscopic Pendula: Classical Analogue to Driven Quantum Bits

TL;DR

This paper demonstrates that classical coupled macroscopic pendula can replicate quantum bit dynamics, providing a tangible model to understand quantum coherence and control techniques.

Contribution

It introduces a classical mechanical system that accurately reproduces quantum qubit behaviors, bridging classical and quantum wave mechanics.

Findings

Successfully simulated Rabi oscillations, Landau-Zener transitions, and interferometry with pendula.

Showed classical system can mimic quantum coherence phenomena.

Provided a new educational tool for quantum mechanics understanding.

Abstract

Quantum mechanics increasingly penetrates modern technologies but, due to its non-deterministic nature seemingly contradicting our classical everyday world, our comprehension often stays elusive. Arguing along the correspondence principle, classical mechanics is often seen as a theory for large systems where quantum coherence is completely averaged out. Surprisingly, it is still possible to reconstruct the coherent dynamics of a quantum bit (qubit) by using a classical model system. This classical-to-quantum analogue is based on wave mechanics, which applies to both, the classical and the quantum world. In this spirit we investigate the dynamics of macroscopic physical pendula with a modulated coupling. As a proof of principle, we demonstrate full control of our one-to-one analogue to a qubit by realizing Rabi oscillations, Landau-Zener transitions and Landau-Zener-St\"uckelberg-Majorana interferometry. Our classical qubit demonstrator can help comprehending and developing useful quantum technologies.