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Time-Resolved Autoionization: Attosecond Pulse Dynamics and Fano Resonance Analysis

This study investigates time-resolved autoionization using attosecond pulses at the intersection of theoretical and experimental physics. The research focuses on the time-resolved electron wave packet dynamics during the electronic motion scale, which lasts approximately 100 as. By implementing pump-probe experiments, we analyze the momentum shift and electron correlations in the Auger decay process. The work furthers understanding of coherent excitations and Fano resonances, contributing to precision in quantum state manipulation. Insights gained here pave the way for advancements in ultra-fast spectroscopy.

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Time-Resolved Autoionization: Attosecond Pulse Dynamics and Fano Resonance Analysis

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  1. Marlene Wickenhauser and Joachim Burgdörfer Inst. for Theoretical Physics, Vienna University of Technology, AUSTRIA Ferenc Krausz Max-Planck-Inst. for Quantum Optics, Garching, Germany Markus Drescher Faculty of Physics University of Bielefeld, GERMANY Time-Resolved Autoionization using Attosecond Pulses

  2. Time resolved atomic dynamics Goal: Time resolved electron wave packet Time scale of electronic motion: ~100 as

  3. Pump probe experiment momentum shift: = delay time energy probe pulse t 2.5 fs energy gas atom pump pulse 500 as

  4. energy Motiation: Auger decay M. Drescher F. Krausz (2002) Auger line 40 eV Spectra for different delay times extract lifetime of Auger decay

  5. Autoionization: Coherent excitation super Coster Kronig Cr:tr = 800 as schematic: Goal: Time resolved evolution of coherent superposition

  6. Fano line shape in emission spectrum intensity window resonance G energy

  7. Spectrum: Fano profile excitation amplitude to resonant state q ~ excitation amplitude to continuum q = 2 q = 1 q = 0 energy

  8. Approximations: Model Hamiltonian: Laser bound-continuum coupling • XUV-pump pulse: • First order perturbation theory • Probe pulse: • Strong field approximation

  9. Time dependent ionization probability for window resonance (q = 0) intensity XUV-pump pulse time energy

  10. Simulated Pump Probe Spectra direct ionization without resonance Auger decay Fano resonance (q = 0.5) tr = 500 as tr = 500 as 30 40 50 Energy (eV) energy 0 1 2 3 4 5 time delay time delay time delay (fs) tr = 2.5 fs tr = 2.5 fs energy time delay time delay

  11. q = 0: window resonance 30 40 50 energy 0 1 2 delay time (fs) envelope of time differential ionization probability: A B A “A+B” B t energy

  12. Complex q ? • Resonances in magnetic field • Decoherence in open quantum systems System with broken time reversal symmetry

  13. Time-integral spectrum probability

  14. B = 0.9160 B = 0.9151 B = 0.9142 Example: quantum dot K. Kobayashi, H. Aikawa, S. Katsumoto and Y. Iye Phys. Rev. B 68, 235304 (2003) Fano resonance in presence of magnetic field:

  15. Can time resolved spectroscopy distinguish q=+/- i ? energy energy delay time delay time intensity intensity time time energy energy q = - i q = i

  16. A(E) = Aresonant + Adirect + Acorrection q = i q = - i constructive interference destructive interference

  17. Summary • Time evolution of an autoionizing resonance • Simulate pump probe experiment • Analyze case of complex Fano parameter

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