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Time-Resolved Autoionization using Attosecond Pulses: Simulating Pump-Probe Experiment with Complex Fano Parameter

This study aims to achieve time-resolved electron wave packet and analyze the time evolution of a coherent superposition Fano line shape in the emission spectrum. The simulation involves a pump-probe experiment using attosecond pulses and a complex Fano parameter.

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Time-Resolved Autoionization using Attosecond Pulses: Simulating Pump-Probe Experiment with Complex Fano Parameter

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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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