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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Related Experiment Video

Updated: Jul 4, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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Three-state coherent control using narrowband and passband sequences.

Cheng Zhang, Li-Tuo Shen, Jie Song

    Optics Express
    |February 1, 2024
    PubMed
    Summary

    This study introduces a universal design for composite pulse sequences, enabling precise population transfer and excitation profiles. The novel method minimizes errors and tolerates system imperfections for enhanced adaptability.

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    Last Updated: Jul 4, 2025

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    Area of Science:

    • Quantum Control
    • Atomic, Molecular, and Optical Physics

    Background:

    • Accurate population transfer in quantum systems is crucial for applications.
    • Existing pulse sequence designs often struggle with system imperfections and limited adaptability.

    Purpose of the Study:

    • To develop a comprehensive design for narrowband and passband composite pulse sequences.
    • To achieve arbitrary population transfer with desired excitation profiles while minimizing leakage.
    • To enhance robustness against experimental errors and approximations.

    Main Methods:

    • Involving the dynamics of all states in a three-state system.
    • Utilizing strength and phase modulations for pulse parameter control.
    • Analyzing error terms and system dynamics for sequence optimization.

    Main Results:

    • A universal design for composite pulse sequences applicable to both narrowband and passband scenarios.
    • Demonstrated ability to achieve arbitrary population transfer with desired excitation profiles.
    • High tolerance to inaccurate waveforms, detuning errors, and deviations from the rotating wave approximation.

    Conclusions:

    • The proposed pulse sequence design offers versatile adaptability for shaping excitation profiles.
    • The method provides robustness against common experimental imperfections.
    • This work advances the design of quantum control sequences for practical applications.