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Component instantaneous ionization rate (IIR) is introduced and the approach of its calculation is formulated. The component IIR's and the overall (time-averaged) component ionization rates are calculated for H$_2^+$ at different values of…

Atomic Physics · Physics 2009-09-02 Mohsen Vafaee , Hassan Sabzyan , Zahra Vafaee , Ali Katanforoush

The fixed-nuclei full dimensional time-dependent Schr \"odinger equation is directly solved for H$_2^+$ in the linearly polarized laser field of $I \sim 1.0 \times 10^{14}$W cm$^{-2}$ and $\lambda \sim 1064 $nm Instantaneous ionization rate…

Atomic Physics · Physics 2007-05-23 Mohsen Vafaee , Hassan Sabzyan , Zahra Vafaee , Ali Katanforoush

A simple, analytical, nonrelativistic ionization rate formula for atoms and positive ions in intense ultraviolet and x-ray electromagnetic fields is derived. The rate is valid at arbitrary values of the Keldysh parameter and confirmed by…

Atomic Physics · Physics 2009-11-13 S. V. Popruzhenko , V. D. Mur , V. S. Popov , D. Bauer

Tunnel ionization belongs to the fundamental processes of atomic physics. The so-called two-step model, which describes the ionization as instantaneous tunneling at the electric field maximum and classical motion afterwards with zero exit…

Quantum Physics · Physics 2016-02-17 Nicolas Teeny , Enderalp Yakaboylu , Heiko Bauke , Christoph H. Keitel

We address the long-standing problem of determining accurate, time-resolved ionization rates for atoms in strong laser fields, a quantity that is fundamental to attosecond science. We show that it is possible to retrieve sub-optical-cycle…

Atomic Physics · Physics 2026-02-09 Manoram Agarwal , Armin Scrinzi , Vladislav S. Yakovlev

Modern laser systems are able to generate short and intense laser pulses ionizing matter in the poorly explored barrier-suppression regime. Field ionization in this regime is studied analytically and numerically. For analytical studies,…

Atomic Physics · Physics 2018-11-15 I. Yu. Kostyukov , A. A. Golovanov

Based on the strong-field approximation, we obtain analytical expressions for the initial momentum at the tunnel exit and instantaneous ionization rate of tunneling ionization in elliptically polarized laser fields with arbitrary…

Atomic Physics · Physics 2019-06-12 Siqiang Luo , Min Li , Wenhai Xie , Kun Liu , Yudi Feng , Baojie Du , Yueming Zhou , Peixiang Lu

Intense-field ionization of the hydrogen molecular ion by linearly-polarized light is modelled by direct solution of the fixed-nuclei time-dependent Schr\"odinger equation and compared with recent experiments. Parallel transitions are…

Computational Physics · Physics 2009-11-10 Liang-You Peng , Daniel Dundas , J F McCann , K T Taylor , I D Williams

We present a practical numerical technique for calculating tunneling ionization rates from arbitrary 1-D potential wells in the presence of a linear external potential by determining the widths of the resonances in the spectral density,…

Quantum Physics · Physics 2009-10-31 G. N. Gibson , G. Dunne , K. J. Bergquist

Based on numerical solutions of the time-dependent Schr\"odinger equation for either one or two active electrons, we propose a method for observing instantaneous level shifts in an oscillating strong infrared (IR) field in time, using a…

Atomic Physics · Physics 2015-05-28 Feng He , Camilo Ruiz , Andreas Becker , Uwe Thumm

The ionization of a one-dimensional model Helium atom in short laser pulses using time-dependent density functional theory is investigated. We calculate ionization probabilities as a function of laser intensity by approximating the…

Atomic Physics · Physics 2009-11-13 F. Wilken , D. Bauer

It has been recently predicted theoretically that due to nuclear motion light and heavy hydrogen molecules exposed to strong electric field should exhibit substantially different tunneling ionization rates (O.I. Tolstikhin, H.J. Worner and…

Atomic Physics · Physics 2016-08-24 X. Wang , H. Xu , A. Atia-Tul-Noor , B. T. Hu , D. Kielpinski , R. T. Sang , I. V. Litvinyuk

Relativistic strong-field ionization of hydrogen-like atoms or ions in a constant crossed electromagnetic field is studied. The transition amplitude is formulated within the strong-field approximation in G\"oppert-Mayer gauge, with initial…

Atomic Physics · Physics 2023-03-29 A. Eckey , M. Klaiber , A. B. Voitkiv , C. Müller

The quasistatic limit of the velocity-gauge strong-field approximation describing the ionization rate of atomic or molecular systems exposed to linear polarized laser fields is derived. It is shown that in the low-frequency limit the…

Atomic Physics · Physics 2007-05-23 Yulian V. Vanne Alejandro Saenz

The electron dynamics in the classically forbidden region during relativistic tunnel-ionization is investigated. The classical forbidden region in the relativistic regime is identified by defining a gauge invariant total energy operator.…

Electrons in atoms and molecules can not react immediately to the action of intense laser field. A time lag (about 100 attoseconds) between instants of the field maximum and the ionization-rate maximum emerges. This lag characterizes the…

Atomic Physics · Physics 2021-04-01 J. Y. Che , C. Chen , S. Wang , G. G. Xin , Y. J. Chen

We propose a method to study the tunneling process by analyzing the time-dependent ionization yield in circularly polarized laser. A numerical calculation shows that for an atom exposed to a long laser pulse, if its initial electronic state…

Atomic Physics · Physics 2016-06-08 MingHu Yuan , PeiPei Xin , TianShu Chu , HongPing Liu

To measure and control the electron motion in atoms and molecules by the strong laser field on the attosecond time scale is one of the research frontiers of atomic and molecular photophysics. It involves many new phenomena and processes and…

Atomic Physics · Physics 2022-03-30 Chao Chen , Jiayin Che , Shang Wang , Guoguo Xin , Yanjun Chen

We use a Wigner distribution-like function based on the strong field approximation theory to obtain the time-energy distributions and the ionization time distributions of electrons ionized by an XUV pulse alone and in the presence of an…

Atomic Physics · Physics 2021-09-01 L. Guo , Y. Jia , M. Q. Liu , X. Y. Jia , S. L. Hu , R. H. Lu , S. S. Han , J. Chen

We apply a fundamental definition of time delay, as the difference between the time a particle spends within a finite region of a potential and the time a free particle spends in the same region, to determine results for photoionization of…

Atomic Physics · Physics 2015-06-12 Jing Su , Hongcheng Ni , Andreas Becker , Agnieszka Jaroń-Becker
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