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Related Experiment Video

Updated: Jul 15, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Analytic approach for controlling quantum states in complex systems.

Toshiya Takami¹, Hiroshi Fujisaki

¹Computing and Communications Center, Kyushu University, Fukuoka 812-8581, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 16, 2007

Summary

We introduce orthogonal moving bases for random matrix systems, enabling a Rabi-oscillation-like wave packet representation. This new method yields an analytic optimal field that outperforms previous approaches in optimal control theory.

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Last Updated: Jul 15, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum mechanics
Optimal control theory
Mathematical physics

Background:

Optimal control theory (OCT) is applied to analyze random matrix systems.
Previous work assumed orthogonal moving bases, limiting wave packet representation.
A smooth transition between initial and final states was observed.

Purpose of the Study:

To introduce orthogonal moving bases for random matrix systems.
To derive an analytic optimal field using these bases.
To demonstrate the superiority of the new optimal field.

Main Methods:

Numerical solution of optimal control theory equations.
Construction of a Rabi-oscillation-like wave packet representation.
Derivation of an analytic optimal field.

Main Results:

Introduction of orthogonal moving bases.
Successful construction of a wave packet representation.
Derivation of a superior analytic optimal field.
Numerical validation of the new optimal field's performance.

Conclusions:

Orthogonal moving bases provide an effective framework for optimal control of random matrix systems.
The derived analytic optimal field offers improved performance over previous methods.
This approach enhances the understanding of state transitions in driven quantum systems.