Coherent control of a short and intensive XUV laser pulse in the spherical symmetric box potential
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1 Coherent control of a short and intensive XUV laser pulse in the spherical symmetric box potential Imre Ferenc Barna and Péter Dombi 1 2 1) KFKI - AEKI Atomic Energy Research Institute of the Hungarian Academy of Sciences, Budapest, Hungary 2) KFKI - SZFKI Research Institute for Solid State Physics and Optics of the Hungarian Academy of Sciences, Budapest, Hungary
2 Motivation 1 Adaptive femtosecond quantum control can be applied for visible light (The photos are from Gustav Gerber's Institute)
3 Motivation 2 it is experimentally possible to create XUV laser pulses with HHG or with Free Electron Laser eg. two-photon double ionisation can be studied electron-electron correlation can be investigated OR/END coherent controlled laser pulses can be created figure is from
4 Our coupled-channel method -- Our applied Coupled-Channel Method was originally developed for ion-he collision (details in I.F. Barna, Ionization of helium in relativistic heavy-ion collisions, Doctoral Thesis, University of Giessen (2002) Giessener Elektronische Bibliothek I.F. Barna, N. Grün and W. Scheid, Eur. Phys. J. D 25, (2003) 239 I.F. Barna, K. Tőkési and J. Burgdörfer, J. Phys. B 38, (2005) 1 -- Later modified to study photoionization of He I.F. Barna, J.M. Rost, Eur. Phys. J. D 27, (2003) 287 I.F. Barna, J. Wang and J. Burgdörfer, Phys. Rev. A 73, (2006) and coherent control I.F. Barna "Coherent control calculations for helium atom in short and intensive XUV laser pulses " Eur. Phys. J. D 33, (2005) 307
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7 Spectrum & Continuum States
8 Laser pulse & Photoionization A. Scrinzi et al. PRA 58, 1310 (1998) R. Hasbani et al. JPB 33, 2101 (2000) I. F. Barna et al. Eur. Phys. J. D 27, 287 (2003)
9 Two-Photon Ionization of He through a superposition of Higher Harmonics Experiment & Theory (Coupled Channel method versus Spline Base) N. A. Papadogiannis et al. PRL (2003) 7 th, 9 th, 11 th and 13 th harmonics fs pulse length sin^2 envelope our results Papadogiannis
10 Genetic algorithm & Pulse Shaping for coherent control for He atom
11 Investigated system & results - the resonant two-photon excitation was investigated by D. Meshulach et al. Nature 396, 239 (1998), PRA. 60, 1287, (1999) - here the non-resonant two-photon excitation of the helium atom is examined - at the non-perturbative intensity range, 10^14 W/cm^2, 40 channels are taken
12 Results f unct antisymmetric phase function around the resonance frequency for the best pulse a symmetric phase function around the resonance frequency for the worst (dark) pulse
13 Our model for the box potential - three-dimensional, spherically symetric square-well box potential with 4 bound states, Energies, Eigenvalues are known - Linearly polarized pulse is taken, with 3 off-resonant carrier frequencies, pulse duration = 400 a.u. - the full time-dependent quantum mechanical problem is solved - the 3 phases and 3 pulse amplitudes are controlled with GE
14 Results - the centre-of-mass of the time-dependent electron current is investigated - best to worst pulse ratio is 82
15 Summary We presented our couppled channel method for He which is capable to describe one to four-photon ionization and coherent control As a new result we presented coherent control calculations for non-resonanat two photon excitation in a spherical box-potential
Coherent control for the spherical symmetric box potential in short and intensive XUV laser fields
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