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Attosecond Control and Measurement: Lightwave Electronics

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data stays consistently below 0.1 rad <strong>and</strong> thus shows<br />

excellent agreement all the way down to ca. 2 U p (below<br />

this value, noise is dominating the curves due to the low<br />

amplitude of the asymmetry). We have demonstrated<br />

that velocity-map imaging is not only a powerful tool<br />

for measuring the full momentum distributions of ATI<br />

in rare gases but also provides a new way to determine<br />

the CEP of few-cycle laser pulses from the angular<br />

distribution of the emitted electrons.<br />

WAVEFORM CONTROl OF ElECTRON lOCAlIZATION<br />

IN MOlECUlES<br />

A previously explored single-color control scheme for<br />

attosecond electron localization in molecules is difficult<br />

to extend to systems with dissociation times much longer<br />

than the duration of the waveform-controlled fewcycle<br />

laser field (in previous experiments, 5 fs pulses at<br />

760 nm were used) as the field strength of the laser will<br />

be to low to coherently couple two electronic states<br />

close to the break-up of the molecule.<br />

As a demonstration for a suitable way to extend the<br />

control scheme, in collaboration with the groups of Anne<br />

L’Huillier (Lund), Marc Vrakking (Amolf), Franck Lepine<br />

(Lyon) <strong>and</strong> Mauro Nisoli (Milan), we have performed<br />

a two-color experiment, where an isolated attosecond<br />

laser pulse ionizes D <strong>and</strong> part of the ionized molecules<br />

2<br />

dissociate. The single attosecond pulse is generated by<br />

means of high-harmonic generation in Krypton using the<br />

polarization gating technique. In the photo-ionization<br />

+ by the attosecond pulse the repulsive 2pσ state is<br />

u<br />

populated when the photon-energy of the pulse is high<br />

enough (above ca. 29 eV). Interaction of this dissociating<br />

wave packet with a time delayed moderately strong IR<br />

field localizes the electron on the upper or lower D + ion.<br />

By varying the delay between the XUV pulse <strong>and</strong> the<br />

few-cycle IR pulse the asymmetry in the ejection of D +<br />

ions can be controlled with attosecond time resolution.<br />

This experiment may be viewed as a first example of<br />

the observation of attosecond time-resolved electron<br />

dynamics in molecular physics. As seen in Figure 2 the<br />

asymmetry shows a strong dependence on the kinetic<br />

energy of the D + fragment.<br />

A model solving the 1D time-dependent Schrödinger<br />

equation (TDSE) was used to confirm the interpretation<br />

<strong>and</strong> to give insight into the origin of the observed<br />

energy dependence. In the model a nuclear wave<br />

+ packet is projected on the repulsive 2pσ state <strong>and</strong><br />

u<br />

+ propagated on the bound 1sσ <strong>and</strong> the repulsive<br />

g<br />

+ 2pσ state of the molecular ion in the presence of a<br />

u<br />

few-cycle IR field. The IR field couples the two states<br />

which generates a coherent superposition where the<br />

electron can be localized on one or the other ion. Just as<br />

in the experiment the timing of the IR field determines<br />

the electron localization. The kinetic energy dependence<br />

1 . 3 AT T O S E C O N D A N D H I G H - F I E L D D I V I S I O N<br />

Figure 2: A) D + ion kinetic energy spectra from the<br />

dissociative ionization of D 2 versus the delay between<br />

the 300 as XUV pulse at 30 eV <strong>and</strong> a phase-stable<br />

6-fs IR pulse; B) Asymmetry of the D + ion emission<br />

along the laser polarization as a function of the D +<br />

kinetic energy <strong>and</strong> the delay between the XUV <strong>and</strong><br />

IR pulses.<br />

of the electron localization, which is observed in the<br />

experiment <strong>and</strong> the calculations, likely, originates from<br />

the initial spread of the wave packet.<br />

Electron transfer processes are ubiquitous in chemistry.<br />

The present combination of one- <strong>and</strong> two-color<br />

experiments, where electron localization is first<br />

controlled on attosecond timescales using the controlled<br />

waveform of a few-cycle IR laser pulse <strong>and</strong> then using<br />

the controlled delay between an isolated attosecond<br />

pulse <strong>and</strong> a few-cycle IR laser pulse, are first examples of<br />

strong-field control of chemical processes on attosecond<br />

timescales <strong>and</strong> of the direct observation of attosecond<br />

electron dynamics in molecules, paving the way towards<br />

attempts to observe <strong>and</strong> control electron dynamics in<br />

more complicated molecules <strong>and</strong> nanostructures. The<br />

results of these studies are currently written up.<br />

ATTOSECOND NANOPlASMONIC MICROSCOPY<br />

Nanoplasmonics deals with collective electronic<br />

dynamics on the surface of metal nanostructures, which<br />

arises as a result of excitations called surface plasmons.<br />

150 Max-Planck-Institut für Quantenoptik • Progress Report 2007/2008

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