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arXiv:2409.05431 · Automatica

Noise suppression via coherent quantum feedback: A Schrödinger picture approach

Shikun Zhang, Guofeng Zhang

Published Dec 20, 2024• 2 citations
arXivHTMLPDF
DOI
10.1016/j.automatica.2024.112076

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World Congress on Intelligent Control and Automation•Jul 1, 2012•1 citation
We numerically show that time-delayed coherent feedback controls the statistical output characteristics of driven quantum emitters. Quantum feedback allows us to enhance or suppress a wide range of classical and nonclassical features of the emitted quantum light. As an exemplary quantum system, we use a pumped cavity containing two emitters. By applying phase-selective feedback, we demonstrate that photon antibunching and bunching can be increased for a given set of parameters in orders of magnitude due to intrinsically and externally controllable quantum interferences. Our modeling is based on a fully non-Markovian quantum simulation of a structured photon continuum. We show that an approximative method in the Schr\"odinger picture allows a very good estimate for quantum feedback induced features for low pump rates.
We propose a theoretical scheme to enhance quantum coherence and obtain steady-state coherence by combining quantum feedback control and noise-assisted preparation. We investigate the effects of quantum-jump-based feedback control and noise field on the quantum coherence and excited-state population between two atoms inside an optical cavity where a noise field drives one, and the other is under quantum feedback control. It is found that steady quantum coherence can be achieved by adding an external noise field, and the quantum feedback can prolong the coherence time with partial suppression of the spontaneous emission of atoms. In addition, we study the influence of the joint action of quantum feedback and noise-assisted preparation on quantum coherence and show that the combined action of feedback control and noise-assisted preparation is more effective in enhancing steady coherence. The findings of our research offer some general guidelines for improving the steady-state coherence of coupled qubit systems and have the potential to be applied in the realm of quantum information technology.
This paper explores the control of non-Markovian systems via coherent quantum feedback. In the spirit of classical control theory that is widely used in engineering, we acquire completely new insights in the closed-loop design from the frequency domain point of view, which appears missing in quantum control theory. Based on the non-Markovian Langevin equation for the closed-loop quantum dynamics, it is found that, in contrast to the existing time-domain design methods, the frequency domain analysis is more natural on the memory kernel function, which can be reshaped by feedback to suppress the non-Markovian decoherence. For illustration, we consider the case that the coupling strength in the feedback loop is constant. The analysis shows that the coherent feedback shifts the two components in the original noise spectral function towards two opposite directions, thereby makes it possible to suppress the noise near the system's working frequency. When the system to be controlled is Markovian, this simple scheme needs to be replaced by more careful design due to the flatness of the noise spectrum. As an example, the effectiveness of our scheme is demonstrated in photonic crystal systems.