Rate-equation approach for multi-level quantum systems

TL;DR

This paper develops a rate-equation formalism to analyze multi-level quantum systems under strong driving, providing a simple yet effective method that aligns well with experimental results and aids in understanding quantum control and physical processes.

Contribution

It extends the rate-equation approach from two-level to multi-level quantum systems, offering a new, simplified theoretical framework for studying their properties.

Findings

Good agreement with experimental data

Applicable to phenomena like Landau-Zener transitions

Provides a new tool for quantum system analysis

Abstract

Strong driving of quantum systems opens opportunities for both controlling and characterizing their states. For theoretical studying of these systems properties we use the rate-equation formalism. The advantage of such approach is its relative simplicity. We used the formalism for description of a two-level system (TLS) with further expanding it on a case of a multi-level system. Obtained theoretical results have good agreement with experiments. The presented approach can also be considered as one more way to explore properties of quantum systems and underlying physical processes such as for instance Landau-Zener-Stuckelberg-Majorana transitions and interference.