Attosecond Transient Absorption Below the Excited States

In this study, the attosecond transient absorption (ATA) spectrum below the excited states of the helium atom was investigated by numerically solving the fully three-dimensional time-dependent Schrödinger equation. Under single-active electron approximation, the helium atom was illuminated by a comb...

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Main Authors: Jinxing Xue, Xinliang Wang, Meng Wang, Cangtao Zhou, Shuangchen Ruan
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/9/4/269
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author Jinxing Xue
Xinliang Wang
Meng Wang
Cangtao Zhou
Shuangchen Ruan
author_facet Jinxing Xue
Xinliang Wang
Meng Wang
Cangtao Zhou
Shuangchen Ruan
author_sort Jinxing Xue
collection DOAJ
description In this study, the attosecond transient absorption (ATA) spectrum below the excited states of the helium atom was investigated by numerically solving the fully three-dimensional time-dependent Schrödinger equation. Under single-active electron approximation, the helium atom was illuminated by a combined field comprising of extreme ultraviolet (XUV) and delayed infrared (IR) fields. The response function demonstrates that the absorption near the central frequency (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mi>X</mi></msub></semantics></math></inline-formula>) of the XUV field is periodically modulated during the overlapping between the XUV and IR pulses. Using the time-dependent perturbation, the absorption near <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mi>X</mi></msub></semantics></math></inline-formula> is attributed to the wavepacket excited by the XUV pulse. The wave function oscillating at the frequency of the XUV pulse was obtained. Furthermore, the chirp-dependent absorption spectrum near <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mi>X</mi></msub></semantics></math></inline-formula> potentially provides an all-optical method for characterizing the attosecond pulse duration. Finally, these results can extend to other systems, such as solids or liquids, indicating a potential for application in photonic devices, and they may be meaningful for quantum manipulation.
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spelling doaj.art-ab9df649fc084ac48cafd456e4a4a6d82023-12-03T13:51:41ZengMDPI AGPhotonics2304-67322022-04-019426910.3390/photonics9040269Attosecond Transient Absorption Below the Excited StatesJinxing Xue0Xinliang Wang1Meng Wang2Cangtao Zhou3Shuangchen Ruan4College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, ChinaState Key Laboratory of High Field Laser Physics and CAS Center for Excellence in Ultra-Intense Laser Science, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, ChinaSino-German College of Intelligent Manufacturing, Shenzhen Technology University, Shenzhen 518118, ChinaShenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology, Center for Advanced Material Diagnostic Technology, Shenzhen Technology University, Shenzhen 518118, ChinaShenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology, Center for Advanced Material Diagnostic Technology, Shenzhen Technology University, Shenzhen 518118, ChinaIn this study, the attosecond transient absorption (ATA) spectrum below the excited states of the helium atom was investigated by numerically solving the fully three-dimensional time-dependent Schrödinger equation. Under single-active electron approximation, the helium atom was illuminated by a combined field comprising of extreme ultraviolet (XUV) and delayed infrared (IR) fields. The response function demonstrates that the absorption near the central frequency (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mi>X</mi></msub></semantics></math></inline-formula>) of the XUV field is periodically modulated during the overlapping between the XUV and IR pulses. Using the time-dependent perturbation, the absorption near <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mi>X</mi></msub></semantics></math></inline-formula> is attributed to the wavepacket excited by the XUV pulse. The wave function oscillating at the frequency of the XUV pulse was obtained. Furthermore, the chirp-dependent absorption spectrum near <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>ω</mi><mi>X</mi></msub></semantics></math></inline-formula> potentially provides an all-optical method for characterizing the attosecond pulse duration. Finally, these results can extend to other systems, such as solids or liquids, indicating a potential for application in photonic devices, and they may be meaningful for quantum manipulation.https://www.mdpi.com/2304-6732/9/4/269attosecond pulseattosecond transient absorptionhigh order harmonics
spellingShingle Jinxing Xue
Xinliang Wang
Meng Wang
Cangtao Zhou
Shuangchen Ruan
Attosecond Transient Absorption Below the Excited States
Photonics
attosecond pulse
attosecond transient absorption
high order harmonics
title Attosecond Transient Absorption Below the Excited States
title_full Attosecond Transient Absorption Below the Excited States
title_fullStr Attosecond Transient Absorption Below the Excited States
title_full_unstemmed Attosecond Transient Absorption Below the Excited States
title_short Attosecond Transient Absorption Below the Excited States
title_sort attosecond transient absorption below the excited states
topic attosecond pulse
attosecond transient absorption
high order harmonics
url https://www.mdpi.com/2304-6732/9/4/269
work_keys_str_mv AT jinxingxue attosecondtransientabsorptionbelowtheexcitedstates
AT xinliangwang attosecondtransientabsorptionbelowtheexcitedstates
AT mengwang attosecondtransientabsorptionbelowtheexcitedstates
AT cangtaozhou attosecondtransientabsorptionbelowtheexcitedstates
AT shuangchenruan attosecondtransientabsorptionbelowtheexcitedstates