Multiphoton ionization of atoms and ions by high-intensity X-ray lasers

Popruzhenko, S. B.; Mur, V. D.; Попов, В. С.; Bauer, Dieter

doi:10.1134/s1063776109060053

Cited by 28 publications

(9 citation statements)

References 33 publications

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“…The integral in Eq. 3diverges at the lower bound; this is fixed using a regularization procedure [37][38][39]. The variables t s , p s , and r s are determined by the saddle-point equations…”

Section: A Coulomb Quantum-orbit Strong-field Approximationmentioning

confidence: 99%

Spiral-like holographic structures: Unwinding interference carpets of Coulomb-distorted orbits in strong-field ionization

et al. 2020

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We unambiguously identify, in experiment and theory, an overlooked holographic interference pattern in strong-field ionization, dubbed "the spiral," stemming from two trajectories where the potential and laser field are equally critical. Because of the strong interaction with the core of the two trajectories, the spiral could be employed as an optimal tool for probing the target after ionization and for revealing obfuscated phases in the bound states. We find that the spiral is responsible for interference carpets, formerly ascribed to direct trajectories, and that the carpet-interference condition is derived from the field symmetry. This case of mistaken identity may have prevented the spiral from being used as a holographic tool.

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Section: A Coulomb Quantum-orbit Strong-field Approximationmentioning

confidence: 99%

Spiral-like holographic structures: Unwinding interference carpets of Coulomb-distorted orbits in strong-field ionization

et al. 2020

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“…Below we refer to such trajectories as Coulomb-free. They appear in general as complex-valued, and become real only for the most probable photoelectron momentum minimizing the imaginary part of the action (7) [53]. Along these trajectories, the Coulomb correction to the action can be calculated in the form…”

Section: A Coulomb-free Trajectory Modelmentioning

confidence: 99%

“…(10) Within the approximation of Coulomb-free trajectories, the Coulomb effect on the action appear linear with respect to the charge Z. The relative value of the action (10) compared to that of the SFA (8) is given by dimensionless parameters whose value depends on the regime of interaction (see [48,53,54], where such parameters have been introduced in the tunneling and multiphoton regimes of ionization). Taking the Coulomb distortion of trajectories into account as we explain it in the following, makes the full action a non linear function of Z.…”

Section: A Coulomb-free Trajectory Modelmentioning

confidence: 99%

Treating branch cuts in quantum trajectory models for photoelectron holography

2018

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Most implementations of Coulomb-distorted strong-field approaches that contain features such as tunneling and quantum interference use real trajectories in continuum propagation, while a fully consistent approach must use complex trajectories throughout. A key difficulty in the latter case are branch cuts that appear due to the specific form of the Coulomb potential. We present a method for treating branch cuts in quantum-trajectory models, which is subsequently applied to photoelectron holography. Our method is not numerically intensive, as it does not require finding the location of all branching points and branch cuts prior to its implementation, and is applicable to Coulomb-free and Coulomb-distorted trajectories. We show that the presence of branch cuts leads to discontinuities and caustics in the holographic fringes in above-threshold ionization (ATI) photoelectron angular distributions (PAD). These artefacts are removed applying our method, provided they appear far enough from the polarization axis. A comparison with the full solution of the time-dependent Schrödinger equation is also performed, and a discussion of the applicability range of the present approach is provided.

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“…At field strengths below the Schwinger limit E S , pair creation via ultrastrong electric fields may be interpreted as a tunneling effect [34] similar to tunnel ionization from bound states via strong electric fields [35,36] using the method of imaginary times [37] (see also recent applications in Refs. [38][39][40]). This method uses classical trajectories with imaginary * woellert@mpi-hd.mpg.de † heiko.bauke@mpi-hd.mpg.de times to approximate the exponential suppression for the transition amplitude of interest.…”

Section: Introductionmentioning

confidence: 99%

Relativistic tunneling picture of electron-positron pair creation

et al. 2015

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The common tunneling picture of electron-positron pair creation in a strong electric field is generalized to pair creation in combined crossed electric and magnetic fields. This enhanced picture, being symmetric for electrons and positrons, is formulated in a gauge-invariant and Lorentz-invariant manner for quasistatic fields. It may be used to infer qualitative features of the pair creation process. In particular, it allows for an intuitive interpretation of how the presence of a magnetic field modifies and, in particular cases, even enhances pair creation. The creation of electrons and positrons from the vacuum may be assisted by an energetic photon, which can also be incorporated into this picture of pair creation

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Multiphoton ionization of atoms and ions by high-intensity X-ray lasers

Cited by 28 publications

References 33 publications

Spiral-like holographic structures: Unwinding interference carpets of Coulomb-distorted orbits in strong-field ionization

Spiral-like holographic structures: Unwinding interference carpets of Coulomb-distorted orbits in strong-field ionization

Treating branch cuts in quantum trajectory models for photoelectron holography

Relativistic tunneling picture of electron-positron pair creation

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