Multiple-fringe structure of attosecond transient absorption spectrum driven by mid-infrared laser

Jinxing Xue; Candong Liu; Zhinan Zeng; Ruxin Li; Zhizhan Xu

doi:10.3788/COL201917.082601

Journals >Chinese Optics Letters >Volume 17 >Issue 8 >Page 082601 > Article

Chinese Optics Letters
Vol. 17, Issue 8, 082601 (2019)

Multiple-fringe structure of attosecond transient absorption spectrum driven by mid-infrared laser

Jinxing Xue^1,2,3, Candong Liu^1,2,*, Zhinan Zeng^1,2,**, Ruxin Li^1,2, and Zhizhan Xu¹

Author Affiliations

¹Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

²Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

³University of Chinese Academy of Sciences, Beijing 100049, China

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DOI: 10.3788/COL201917.082601 Cite this Article Set citation alerts

Jinxing Xue, Candong Liu, Zhinan Zeng, Ruxin Li, Zhizhan Xu, "Multiple-fringe structure of attosecond transient absorption spectrum driven by mid-infrared laser," Chin. Opt. Lett. 17, 082601 (2019) Copy Citation Text

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Abstract

We theoretically investigate the delay-dependent attosecond transient absorption spectra in the helium atom dressed by an infrared laser pulse in the wavelength range of 800–2400 nm. By numerically solving the three-dimensional time-dependent Schr dinger equation, we find that the absorption spectrogram exhibits a multiple-fringe structure for using the mid-infrared dressing pulse. The quantitative calculation of the transition matrix between different Floquet states provides direct evidence on the origin of the multiple-fringe structure. Our result shows that the wavelength of the dressing pulse is an important parameter and the unique feature of attosecond transient absorption spectroscopy can be induced in the mid-infrared regime.

〈 α, n | H_{F} | β, m 〉 = (ε_{β} - m ω) δ_{α, β} δ_{n, m} + \frac{1}{2} d_{α β} (δ_{n + 1, m} + δ_{n, m + 1}) .

(1)

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D (t, τ) = \sum_{α, n, m} e^{- i (ε_{α} + m ω) t} e^{i (n - m) ω τ} 〈 ϕ_{α, n} | μ_{X} | ψ_{0} 〉 〈 ψ_{0} | μ_{X} | ϕ_{α, m} 〉 + c . c .

(2)

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d (t, τ) = \sum_{n} e^{- i (ε_{α} + m ω) t} e^{i (n - m) ω τ} 〈 ϕ_{α, n} | μ_{X} | ψ_{0} 〉 〈 ψ_{0} | μ_{X} | ϕ_{α, m} 〉 + c . c .

(3)

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S (Ω, τ) = 2 δ [Ω - (ε_{α} + m ω)] 〈 ψ_{0} | μ_{X} | ϕ_{α, m} 〉 g (τ) .

(4)

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g (τ) = 〈 ϕ_{α, m} | μ_{X} | ψ_{0} 〉 \cos (0 ω τ) + [〈 ϕ_{α, m - 2} | μ_{X} | ψ_{0} 〉 + 〈 ϕ_{α, m + 2} | μ_{X} | ψ_{0} 〉] \cos (2 ω τ) + [〈 ϕ_{α, m - 4} | μ_{X} | ψ_{0} 〉 + 〈 ϕ_{α, m + 4} | μ_{X} | ψ_{0} 〉] \cos (4 ω τ) + [〈 ϕ_{α, m - 6} | μ_{X} | ψ_{0} 〉 + 〈 ϕ_{α, m + 6} | μ_{X} | ψ_{0} 〉] \cos (6 ω τ) + \dots .

(5)

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f (τ) = f_{0} \cos (0 ω τ) + f_{1} \cos (2 ω τ) + f_{2} \cos (4 ω τ) + f_{3} \cos (6 ω τ) + \dots .

(6)

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Jinxing Xue, Candong Liu, Zhinan Zeng, Ruxin Li, Zhizhan Xu, "Multiple-fringe structure of attosecond transient absorption spectrum driven by mid-infrared laser," Chin. Opt. Lett. 17, 082601 (2019)

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