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Related papers: On the absence of bound-state stabilization throug…

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We continue our investigation concerning the question of whether atomic bound states begin to stabilize in the ultra-intense field limit. The pulses considered are essentially arbitrary, but we distinguish between three situations. First…

Quantum Physics · Physics 2008-11-26 A. Fring , V. Kostrykin , R. Schrader

We investigate analytical expressions for the upper and lower bounds for the ionization probability through ultra-intense shortly pulsed laser radiation. We take several different pulse shapes into account, including in particular those…

Quantum Physics · Physics 2009-10-30 C. Figueira de Morisson Faria , A. Fring , R. Schrader

Questions are raised about certain experimental and theoretical claims that atoms may be stabilized into their bound states, and prevented from achieving full ionization, by the application of adiabatic, ultraintense, high-frequency laser…

Atomic Physics · Physics 2009-09-29 Sydney Geltman , Mircea Fotino

We revisit the stabilization of ionization of atoms subjected to a superintense laser pulse using nonlinear dynamics. We provide an explanation for the lack of complete ionization at high intensity and for the decrease of the ionization…

Chaotic Dynamics · Physics 2015-06-23 Michael Norman , C. Chandre , T. Uzer , Peijie Wang

Stabilization is still a somewhat controversial issue concerning its very existence and also the precise conditions for its occurrence. The key quantity to settle these questions is the ionization probability, for which hitherto no…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , A. Fring , R. Schrader

Our exact theory for continuous harmonic perturbation of a one dimensional model atom by parametric variations of its potential is generalized for the cases when a) the atom is exposed to short pulses of an external harmonic electric field…

Atomic and Molecular Clusters · Physics 2016-11-03 Alexander Rokhlenko

A two-dimensional model atom is employed to study the ionization behavior of initially excited atomic states in highly-frequent intense laser pulses beyond the dipole approximation. An additional regime of ionization suppression is found at…

Atomic Physics · Physics 2009-11-11 Andreas Staudt , Christoph H. Keitel , John S. Briggs

We give a rigorous argument that long--range repulsion stabilizes quantum systems; ground states of such quantum systems exist even when the ground state energy is precisely at the ionization threshold. For atomic systems at the critical…

Mathematical Physics · Physics 2020-12-24 Dirk Hundertmark , Michal Jex , Markus Lange

We propose a new type of gauge-invariant expansion of the ionization probability amplitudes of atoms by short pulses of electromagnetic radiation. Contrary to previous gauge-invariant approaches to this problem it does not require different…

Quantum Physics · Physics 2015-05-19 A. Bechler , M. Ślȩczka

We investigate the stabilization of a hydrogen atom in circularly polarized laser fields. We use a time-dependent, fully three dimensional approach to study the quantum dynamics of the hydrogen atom subject to high intensity, short…

Quantum Physics · Physics 2009-11-07 Dae-Il Choi , Will Chism

We describe new exact results for a model of ionization of a bound state, induced by an oscillating potential. In particular we have obtained exact expressions, in the form of readily computable rapidly convergent sums, for the energy…

Mathematical Physics · Physics 2017-10-17 Ovidiu Costin , Rodica D. Costin , Joel L. Lebowitz

It is widely believed that an atom interacting with the electromagnetic field (with total initial energy well-below the ionization threshold) relaxes to its ground state while its excess energy is emitted as radiation. Hence, for large…

Mathematical Physics · Physics 2013-01-14 W. De Roeck , A. Kupiainen

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

We study the time evolution of the wave function of a particle bound by an attractive $\delta$-function potential when it is subjected to time dependent variations of the binding strength (parametric excitation). The simplicity of this…

Mathematical Physics · Physics 2009-10-31 Alexander Rokhlenko , Joel L. Lebowitz

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

The process of ionization of a hydrogen atom by a short infrared laser pulse is studied in the regime of very large pulse intensity, in the dipole approximation. Let $A$ denote the integral of the electric field of the pulse over time at…

Mathematical Physics · Physics 2015-05-18 Juerg Froehlich , Alessandro Pizzo , Benjamin Schlein

The controversial question of whether or not an atom will be completely ionized by a laser pulse of arbitrarily increasing intensity is discussed.

Atomic Physics · Physics 2007-05-23 S. Geltman , M. Fotino

We perform ab initio calculations for the hydrogen atom initially in one of the six circular bound states with the principal quantum numbers n = 2, 3 and 4, irradiated by a short circularly polarized laser pulse of 400 nm. The field…

Atomic Physics · Physics 2020-07-01 Jarosław H. Bauer , Zbigniew Walczak

We consider a non relativistic charged particle in a 1-dimensional infinite square potential well. This quantum system is subjected to a control, which is a uniform (in space) time depending electric field. It is represented by a complex…

Analysis of PDEs · Mathematics 2008-01-11 Karine Beauchard , Mazyar Mirrahimi

We discuss the possibility of non-exponential tunneling ionization of atoms irradiated by intense laser field. This effect can occur at times, which are greater than the lifetime of a system under consideration. The mechanism for…

Atomic Physics · Physics 2015-03-02 A. M. Ishkhanyan , V. P. Krainov
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