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We study the field-ionization threshold behavior when a Rydberg atom is ionized by a short single-cycle pulse field. Both hydrogen and sodium atoms are considered. The required threshold field amplitude is found to scale \emph{inversely}…

Atomic Physics · Physics 2014-12-08 B. C. Yang , F. Robicheaux

A theoretical study of the intense-field single ionization of molecular hydrogen or deuterium oriented either parallel or perpendicular to a linear polarized laser pulse (400 nm) is performed for different internuclear separations and pulse…

Quantum Physics · Physics 2015-05-14 Yulian V. Vanne , Alejandro Saenz

We consider electron impact single ionization of an atom at large energy-momentum transfer in the nearly Bethe-ridge kinematics. For evaluation of the ionization amplitude, a plane wave Born series is employed. A regularization procedure is…

Atomic Physics · Physics 2007-05-23 Konstantin A Kouzakov , Pavel S Vinitsky , Yuri V Popov , Claude Dal Cappello

The systematic shifts of the transition frequencies in the molecular hydrogen ions are of relevance to ultra-high-resolution radio-frequency, microwave and optical spectroscopy of these systems, performed in ion traps. We develop the…

Atomic Physics · Physics 2015-06-16 Dimitar Bakalov , Stephan Schiller

We describe and demonstrate a quantum state tomography for measuring the complex temporal waveform of narrowband biphotons. Through six sets of two-photon interference measurements projected in different polarization subspaces, we can…

Quantum Physics · Physics 2015-01-14 Peng Chen , Chi Shu , Xianxin Guo , M. M. T. Loy , Shengwang Du

The interaction of a short, few-cycle light pulse and an atom which is prepared initially in a superposition of two stationary states is shown to exhibit strong signatures of atomic coherence. For a given waveform of the laser pulse,…

Atomic Physics · Physics 2017-01-04 Viktor Ayadi , Mihaly G. Benedict , Peter Dombi , Peter Foldi

Stochastic ionization of highly excited relativistic hydrogenlike atom in the monochromatic field is considered. A theoretical analisis of chaotic dynamics of the electron based on Chirikov's criterion is given. Critical value of the…

chao-dyn · Physics 2009-10-31 D. Matrasulov

Quantum interference between multiple pathways in molecular photodissociation often results in angular momentum polarization of atomic products and this can give deep insight into fundamental physical processes. For dissociation of diatomic…

Chemical Physics · Physics 2022-04-26 Chaya Weeraratna , Arthur G. Suits , Oleg S. Vasyutinskii

In this paper we describe a method to estimate a neighborhood containing a periodic orbit of a given system of two ordinary differential equations. By using the theory of integral averages, the system of differential equations can be…

Dynamical Systems · Mathematics 2025-04-08 Mario Cavani

We present a theoretical study of atomic ionization due to an XUV pulse in the presence of an infrared laser. Within the strong field approximation and considering the periodicity and symmetry of the transition matrix we show that the…

Atomic Physics · Physics 2020-08-26 Renata Della Picca , Ana Alicia Gramajo , Sebastián López , Diego G Arbó

We study strong-field molecular ionization as a function of pulse duration. Experimental measurements of the photoelectron yield for a number of molecules reveal competition between different ionization continua (cationic states) which…

We present rigorous results for quantum systems with both bound and continuum states subjected to an arbitrary strength time-periodic field. We prove that the wave function takes the form of a sum of time-periodic resonant states with…

Atomic Physics · Physics 2007-08-07 O. Costin , J. L. Lebowitz , C. Stucchio , S. Tanveer

We present a mixed quantum-classical approach to strong-field ionization - a semiclassical two-step model with quantum input. In this model the initial conditions for classical trajectories that simulate electron wave packet after…

Atomic Physics · Physics 2019-11-27 N. I. Shvetsov-Shilovski , M. Lein

We investigate the Brusselator system with diffusion and Dirichlet boundary conditions on one dimensional space interval. Our proof demonstrates that, for certain parameter values, a periodic orbit exists. This proof is computer-assisted…

Dynamical Systems · Mathematics 2023-11-22 Jakub Banaśkiewicz , Piotr Kalita , Piotr Zgliczyński

The ionization of an atom by a high-frequency intense laser pulse, where the energy of a single-photon is sufficient to ionize the system, is investigated from first principles. It is shown that as a consequence of an AC Stark effect in the…

Atomic Physics · Physics 2012-06-26 Philipp V Demekhin , Lorenz S Cederbaum

It was recently shown (Keating & Prado, {\it Proc. R. Soc. Lond. A} {\bf 457}, 1855-1872 (2001)) that, in the semiclassical limit, the scarring of quantum eigenfunctions by classical periodic orbits in chaotic systems may be dramatically…

Chaotic Dynamics · Physics 2009-11-07 A. Bäcker , J. P. Keating , S. D. Prado

The ionization of atomic hydrogen in intense laser fields is studied theoretically. The calculations were performed applying both quantummechanical and classical approaches. Treating the problem quantummechanically, the time dependent…

Atomic Physics · Physics 2009-11-13 S. Borbély , K. Tőkési , L. Nagy

We study the dynamics in the neighborhood of the collinear Lagrangian points in the spatial, circular, restricted three--body problem. We consider the case in which one of the primaries is a radiating body and the other is oblate (although…

Dynamical Systems · Mathematics 2015-02-03 Sara Bucciarelli , Marta Ceccaroni , Alessandra Celletti , Giuseppe Pucacco

We study parametric resonance of interacting waves having the same wave vector and frequency. In addition to the well-known period-doubling instability we show that under certain conditions the instability is caused by a Hopf bifurcation…

patt-sol · Physics 2009-10-30 Franz-Josef Elmer

We consider the final stage of multiple ionization of atoms in a strong linearly polarized laser field within a classical model. We propose that non-sequential multiple ionization is dominated by symmetric escape from a highly excited…

Atomic Physics · Physics 2007-05-23 Krzysztof Sacha , Bruno Eckhardt