Selective Excitation of Coupled Resonators via Complex Frequency Driving: Enhanced Efficiency and Crosstalk Suppression

TL;DR

This paper introduces a method using complex frequency driving to selectively excite coupled resonators, significantly improving efficiency and suppressing crosstalk compared to traditional methods, thereby enabling high-fidelity control in complex systems.

Contribution

The paper presents a novel complex frequency excitation technique that enhances selectivity and efficiency in coupled resonator systems beyond conventional pulse methods.

Findings

Achieves near-unity energy storage efficiency (~100%) in single resonators.

Yields 92-95% efficiency with improved selectivity in three-resonator systems.

Substantially suppresses crosstalk compared to Gaussian pulses.

Abstract

Controlling individual elements of coupled resonator systems poses a significant challenge, as conventional real-frequency pulses suffer from inefficiency and crosstalk, limiting fidelity and scalability. To address this challenge, we propose and explore the use of complex frequency excitations, tailoring the driving signal waveform to match the target complex reflection zeros. We demonstrate that complex frequency driving can achieve near-unity selected energy storage efficiency (100%) in a single resonator, substantially exceeding the performance of optimized Gaussian pulses (~80%). In a coupled three-resonator system, our method yields significantly higher efficiency (92-95%) along with vastly improved selectivity and crosstalk suppression compared to conventional Gaussian pulse excitations of the same duration. Our technique achieves dynamic critical coupling, providing a powerful paradigm for high-fidelity, selective control, crucial for advancing scalable complex systems for sensing and computing.