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    Dynamical sweet and sour regions in bichromatically driven Floquet qubits

    D. Dominic Briseño-Colunga1,*, Bibek Bhandari1,*,†, Debmalya Das2,3, Long B. Nguyen4,5, Yosep Kim6, David I. Santiago4,5, Irfan Siddiqi4,5, Andrew N. Jordan1,7,8,9, and Justin Dressel1,7

    • *These authors contributed equally.
    • †Contact author: bbhandari@chapman.edu

    Phys. Rev. Applied 25, 014076 – Published 30 January, 2026

    DOI: https://doi.org/10.1103/5dmn-yjq5

    Abstract

    Modern superconducting and semiconducting quantum hardware uses external charge and microwave flux drives to both tune and operate devices. However, each external drive is susceptible to low-frequency (e.g., 1/f) noise that can drastically reduce the coherence time of the device unless the drive is placed at specific operating points that minimize the sensitivity to fluctuations. We show that operating a qubit in a driven frame using two periodic drives of distinct commensurate frequencies can have advantages over both monochromatically driven frames and static frames with constant offset drives. Employing Floquet theory, we analyze the spectral and lifetime characteristics of a two-level system under weak and strong bichromatic drives, identifying drive-parameter regions with high coherence (“sweet spots”) and highlighting regions where coherence is limited by additional sensitivity to noise at the drive frequencies (“sour spots”). We present analytical expressions for quasienergy gaps and dephasing rates, demonstrating that bichromatic driving can alleviate the trade-off between dc and ac noise robustness observed in monochromatic drives. This approach reveals continuous manifolds of doubly dynamical sweet spots, along which drive parameters can be varied without compromising coherence. Our results motivate further study of bichromatic Floquet engineering as a powerful strategy for maintaining tunability in high-coherence quantum systems.

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