Three-Dimensional Momentum Imaging of Electron Wave Packet Interference in Few-Cycle Laser Pulses

Gopal, Ram; Simeonidis, Konstantinos; Moshammer, R.; Ergler, Th.; Dürr, M.; Курка, М.; Kühnel, K. U.; Tschuch, S.; Schröter, C. D.; Bauer, Dieter; Ullrich, J.; Rudenko, Artem; Herrwerth, Oliver; Uphues, Thorsten; Schultze, Martin; Goulielmakis, Eleftherios; Uiberacker, M.; Lezius, M.; Kling, Matthias F.

doi:10.1103/physrevlett.103.053001

Cited by 115 publications

(107 citation statements)

References 15 publications

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“…The reasons for both of these points possibly lie in a different peak shifting with intensity for different electron energies. For high-harmonic generation and ATI with few-cycle pulses this was predicted and observed at much higher intensities [34,35], indicating the intimate link of spectral features with emission dynamics. An evaluation of a possible peak shifting of the higher order peaks similar to what is shown in Fig.…”

mentioning

confidence: 59%

Strong-Field Above-Threshold Photoemission from Sharp Metal Tips

2010

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We present energy-resolved measurements of electron emission from sharp metal tips driven with low energy pulses from a few-cycle laser oscillator. We observe above-threshold photoemission with a photon order of up to 9. At a laser intensity of ∼ 2 × 10(11) W/cm2 the suppression of the lowest order peak occurs, indicating the onset of strong-field effects. We also observe peak shifting linearly with intensity, with a slope of around -1.0 eV/(10(12) W/cm2). We attribute the magnitude of the laser field effects to field enhancement taking place at the tip's surface.

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confidence: 59%

Strong-Field Above-Threshold Photoemission from Sharp Metal Tips

2010

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“…Several discrepancies between the TDSE and the SFA results are found: (i) the SFA predicts a symmetric momentum distribution while the TDSE spectrum is strongly asymmetric [18]. (ii) The radial structures [40,64] around p = 0 present in the TDSE spectrum are absent in the SFA result. (iii) Several side-lobes in the TDSE result are clearly visible for p z < 0 but completely absent in the SFA.…”

Section: Low-energy Structure [1]mentioning

confidence: 67%

“…Classical properties with regard to trajectories are quite intuitive. Quantum-mechanically, on one hand, the coherent summation over different trajectories with the same asymptotic momentum manifests the "multi-slit-in-time" nature in ionization processes [63,64]. On the other hand, the quantum tunneling is naturally depicted with quasiclassical methods by incorporating complex trajectories extending to classically forbidden regions.…”

Section: Zeroth-order Transition Amplitudementioning

confidence: 99%

Trajectory-Based Coulomb-Corrected Strong Field Approximation

Yan

Popruzhenko

Vrakking

et al. 2012

Springer Proceedings in Physics

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The strong field approximation (SFA) is a widely used theoretical tool in the field of strong field physics and has been applied to various non-perturbative ionization processes. In particular, the SFA provides an intuitive semi-classical interpretation of strong field phenomena in terms of "quantum orbits". However, recent experimental results and ab initio simulations revealed deviations from the predictions of the SFA. We have developed a systematical extension of the SFA, the trajectory-based Coulomb-corrected strong field approximation (TCSFA), to explore Coulomb effects on strong field processes.We apply the TCSFA to the ionization of hydrogen-like systems in long-wavelength, linearly polarized laser fields. Photoelectron momentum spectra are explored by comparing results from the SFA, the TCSFA and solutions of the ab initio time-dependent Schrödinger equation (TDSE). It is shown that the TCSFA yields good agreement with exact TDSE results.The TCSFA provides unprecedentedly intuitive insights into the ionization dynamics. All spectral features can be interpreted in terms of trajectories. With the aid of the TCSFA, we successfully identify new types of quantum trajectories induced by the Coulomb potential and explain the origin of the recently discovered "low-energy structure" (LES). In addition, the interferences between different types of trajectories are explored to account for diverse complex interference patterns in spectra. Within the TCSFA, it is possible to distinguish the influences on interferences from real-space and under-barrier Coulomb corrections in classically forbidden regions. Z U S A M M E N FA S S U N G Die Starkfeldnäherung (engl. "strong field approximation" (SFA)) ist ein weit verbreitetes theoretisches Hilfsmittel auf dem Gebiet der Starkfeldphysik und wurde auf verschiedene nichtstörungstheo-retische Ionisationsprozesse angewandt. Die SFA ermöglicht eine intuitive, semi-klassische Interpretation von Starkfeldphänomenen mittels "Quantenbahnen". Neuere experimentelle Resultate und ab initio-Simulationen haben allerdings Abweichungen von den SFAVorhersagen aufgezeigt. Wir haben eine systematische Erweiterung der SFA entwickelt, die trajektorien-basierte Coulomb-korrigierte Starkfeldnäherung (engl. "trajectory-based Coulomb-corrected strong field approximation" (TCSFA)), um Coulomb-Effekte in Starkfeldprozessen zu untersuchen.iii Wir wenden die TCSFA auf die Ionisation von wasserstoffartigen Systemen in langwelligen, linearpolarisierten Laserfeldern an. Photoelektronenimpulsspektren werden untersucht, in dem Resultate der SFA, der TCSFA und Lösungen der ab initio zeitabhängigen Schrödinger-Gleichung (engl. "time-dependent Schrödinger equation" (TDSE)) verglichen werden. Es wird gezeigt, dass die TCSFA gute Übereinstimmung mit den exakten TDSE-Resultaten erzielt.Die TCSFA ermöglicht bisher unerreichte, intuitive Einsichten in die Ionisationsdynamik. Alle spektralen Eigenschaften können mittels Trajektorien interpretiert werden. Mit Hilfe der TCSFA kön-nen wir erfolgreich neue Typen von ...

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“…This inversion symmetry poses limitations on control schemes since target states with broken inversion symmetry are out of reach. Carrier-envelope phase stabilized, few-cycle infrared pulses break the inversion symmetry resulting in a large asymmetry in the yield of * stefanie.graefe@tuwien.ac.at electrons from atoms [28][29][30] and in the dissociation fragments from small molecules [16]. Alternatively, if both odd and even harmonics of the fundamental driving field are present, inversion symmetry of the field can be broken.…”

Section: Introductionmentioning

confidence: 97%

Quantum control of electron wave packets in bound molecules by trains of half-cycle pulses

et al. 2011

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We investigate protocols for transient localization of electrons in homodiatomic molecules, as well as permanent localization via population inversion in polar molecules. By examining three different model systems with one electronic and one nuclear degree of freedom, we identify mechanisms leading to control over the localization of the electronic wave packets. We show that electronic states dressed by the quasi-dc component of the train of half-cycle pulses steer the combined electronic and nuclear motion toward the targeted state.

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Three-Dimensional Momentum Imaging of Electron Wave Packet Interference in Few-Cycle Laser Pulses

Cited by 115 publications

References 15 publications

Strong-Field Above-Threshold Photoemission from Sharp Metal Tips

Strong-Field Above-Threshold Photoemission from Sharp Metal Tips

Trajectory-Based Coulomb-Corrected Strong Field Approximation

Quantum control of electron wave packets in bound molecules by trains of half-cycle pulses

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