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    Infrared carrier-envelope-phase modulation of attosecond transient absorption spectra gated by pulse area in a singly excited helium atom

    Feier Xu1, Yong Fu1,2,*, Guanglu Yuan3, Jiahao You1, Shengfei Wu1, Bin Lu1, Jianan Zhao1, Bincheng Wang1, and Cheng Jin1,4,†

    • 1Department of Applied Physics, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China
    • 2Department of Physics, College of Science, Shantou University, Shantou, Guangdong 515063, China
    • 3State Key Laboratory for Mesoscopic Physics and Frontiers Science Center for Nano-Optoelectronics, School of Physics, Peking University, Beijing 100871, China
    • 4MIIT Key Laboratory of Semiconductor Microstructure and Quantum Sensing, Engineering Research Center of Semiconductor Device Optoelectronic Hybrid Integration in Jiangsu Province, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China

    • *Contact author: fuyong@stu.edu.cn
    • †Contact author: cjin@njust.edu.cn

    Phys. Rev. A 114, 023108 – Published 26 August, 2026

    DOI: https://doi.org/10.1103/ths8-rby8

    Abstract

    In the traditional scheme of extreme ultraviolet (XUV) attosecond pulse pump and infrared (IR) femtosecond laser probe, modifications of spectral signatures in the attosecond transient absorption (ATA) spectra are usually achieved by variations in the attosecond pulse waveform, time delay between the two fields, and IR-field intensity. However, the effect of the carrier-envelope phase (CEP) of the IR laser is neglected. Here, we theoretically demonstrate that the CEP modulation of the laser-dressed ATA spectra in a singly excited helium atom depends on the IR pulse area. Using a full multilevel model and a simplified three-level model, we find that the absorption line shape of the 2p state exhibits a pronounced periodic modulation as a function of the CEP exclusively when the pulse area reaches π. In contrast, this modulation becomes negligible at other pulse areas. Analytical derivations based on the δ-pulse approximation reveal that this effect originates from the complete population transfer between the bright 2p state and the dark 3d state at specific IR pulse areas. We further confirm the robustness of this pulse-area-dependent feature against variations in IR laser duration, central wavelength detuning, and attochirp of the XUV pulse. Finally, we show that the CEP modulation remains robustly observable when considering macroscopic propagation effects in a gas medium. We expect that such CEP sensitivity of the ATA spectra could be used as an all-optical diagnostic tool for absolute CEP measurement.

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