Open-Loop Control in Quantum Optics: Two-Level Atom in Modulated Optical Field

TL;DR

This paper explores the application of classical control theory to manipulate two-level quantum atoms in a modulated optical field using an open-loop control approach within a semi-classical framework.

Contribution

It introduces a simple feedforward control model for two-level quantum systems interacting with classical optical fields, bridging control theory and quantum optics.

Findings

Proposes a basic open-loop control model for quantum particles.

Demonstrates potential for controlling quantum systems with classical control methods.

Lays groundwork for further quantum control research.

Abstract

The methods of mathematical control theory are widely used in the modern physics, but still they are less popular in quantum science. We will discuss the aspects of control theory, which are the most useful in applications to the real problems of quantum optics. We apply this technique to control the behavior of the two-level quantum particles (atoms) in the modulated external optical field in the frame of the so called "semi classical model", where quantum two-level atomic system (all other levels are neglected) interacts with classical electromagnetic field. In this paper we propose a simple model of feedforward (open-loop) control for the quantum particle system, which is a basement for further investigation of two-level quantum particle in the external one-dimensional optical field.