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We study strong field molecular ionization using few- (four to ten) cycle laser pulses. Employing a supercontinuum light source, we are able to tune the optical laser wavelength (photon energy) over a range of about $\sim$200 nm (500 meV).…

In this paper we study the stabilization of rotating waves using time delayed feedback control. It is our aim to put some recent results in a broader context by discussing two different methods to determine the stability of the target…

Dynamical Systems · Mathematics 2018-04-18 S. Verduyn Lunel , B. de Wolff

We investigate molecular dynamics of multiple ionization in N2 through multiple core-level photoabsorption and subsequent Auger decay processes induced by intense, short X-ray free electron laser pulses. The timing dynamics of the…

A simple theory of the Rydberg atoms ionisation by electromagnetic pulses and microwave field is presented. The analysis is based on the scale transformation which reduces the number of parameters and reveals the functional dependencies of…

Quantum Physics · Physics 2007-05-23 B. Kaulakys , G. Vilutis

The standard closed-orbit theory is extended for the photodetachment of negative ions in a time-dependent electric field. The time-dependent photodetachment rate is specifically studied in the presence of a single-cycle terahertz pulse,…

Atomic Physics · Physics 2016-05-25 B. C. Yang , F. Robicheaux

We study theoretically the dipole radiation of a hydrogen atom driven by an intense sub-cycle pulse. The time-dependent Schr\"odinger equation for the system is solved by ab initio calculation to obtain the dipole response. Remarkably, a…

Atomic Physics · Physics 2016-02-05 Wei-Chun Chu , John C. Travers , Philip St. J. Russell

The time-dependent Schr\"{o}dinger equation for the hydrogen atom and its interaction with coherent intense high-frequency short laser pulses is solved numerically exactly by propagating the single-electron wave packets. Thereby, the…

Atomic Physics · Physics 2013-09-11 Philipp V. Demekhin , David Hochstuhl , Lorenz S. Cederbaum

The coherent control of electron beams and ultrafast electron wave packets dynamics have attracted significant attention in electron microscopy as well as in atomic physics. In order to unify the conceptual pictures developed in both…

Quantum Physics · Physics 2020-11-09 K. Eickhoff , C. Rathje , D. Köhnke , S. Kerbstadt , L. Englert , T. Bayer , S. Schäfer , M. Wollenhaupt

The hydrogen molecule contains the basic ingredients to understand the chemical bond, i.e, a pair of electrons. We show a step to understand The Correspondence Principle for chaotic system in the Chemical World. The hydrogen molecule is…

Chaotic Dynamics · Physics 2007-05-23 A. Lopez-Castillo

As the simplest atomic system, the hydrogen atom plays a key benchmarking role in laser and quantum physics. Atomic hydrogen is a widely used atomic test system for theoretical calculations of strong-field ionization, since approximate…

Atomic Physics · Physics 2014-03-27 D. Kielpinski , R. T. Sang , I. V. Litvinyuk

We derive uniform approximations for contributions to Gutzwiller's periodic-orbit sum for the spectral density which are valid close to bifurcations of periodic orbits in systems with mixed phase space. There, orbits lie close together and…

chao-dyn · Physics 2008-02-03 Henning Schomerus , Martin Sieber

Ionization of atoms and molecules by absorption of a light pulse results in electron wavepackets carrying information on the atomic or molecular structure as well as on the dynamics of the ionization process. These wavepackets can be…

Plasma spectroscopy is a fundamental tool for diagnosing laboratory and astrophysical plasmas. Accurate interpretation of spectra depends upon precise modeling and comprehension of Stark broadening and other mechanisms affecting spectral…

Plasma Physics · Physics 2025-10-24 D. González-Herrero , G. Pérez-Callejo , R. Florido , M. A. Gigosos

Recent advances in strong x-ray laser techniques enable the study of nonlinear multiphoton ionization in extreme high-frequency fields. Although the stabilization regime in such fields is theoretically established, its modified properties…

Atomic Physics · Physics 2026-02-17 Aleksandr V. Boitsov , Karen Z. Hatsagortsyan , Christoph H. Keitel

Correspondence between classical periodic orbits and quantum shell structure is investigated for a reflection-asymmetric deformed oscillator model as a function of quadrupole and octupole deformation parameters. Periodic orbit theory…

Nuclear Theory · Physics 2009-10-28 Ken-ichiro Arita , Kenichi Matsuyanagi

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

This paper concerns the theory of non-recollisional ionization or detachment of atoms or ions by intense few-cycle pulses. It is shown that in certain conditions of pulse duration, peak intensity and carrier-envelope phase, the ionization…

Atomic Physics · Physics 2014-09-04 C. C. Chirila , R. M. Potvliege

Bifurcation analysis collects techniques for characterizing the dependence of certain classes of solutions of a dynamical system on variations in problem parameters. Common solution classes of interest include equilibria and periodic…

Dynamical Systems · Mathematics 2025-11-05 Harry Dankowicz , Jan Sieber

We perform a detailed analysis of above threshold ionization (ATI) in atoms within the strong field approximation (SFA) by considering spatially inhomogeneous monochromatic laser fields. The locally enhanced field induced by resonance…

Atomic Physics · Physics 2015-06-15 T. Shaaran , M. F. Ciappina , M. Lewenstein

Connected branches of periodic orbits originating at a Hopf bifurcation point of a differential system are considered. A computable estimate for the range of amplitudes of periodic orbits contained in the branch is provided under the…

Dynamical Systems · Mathematics 2020-12-02 E. Hooton , Z. Balanov , D. Rachinskii
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