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We perform a detailed analysis of high-order harmonic generation (HHG) in atoms within the strong field approximation (SFA) by considering spatially inhomogeneous monochromatic laser fields. We investigate how the individual pairs of…

Atomic Physics · Physics 2015-06-05 T. Shaaran , M. F. Ciappina , M. Lewenstein

Photoelectron spectra obtained from the ab initio solution of the time-dependent Schr\"odinger equation can be in striking disagreement with predictions by the strong-field approximation (SFA) not only at low energy but also around twice…

Atomic Physics · Physics 2016-12-14 Th. Keil , S. V. Popruzhenko , D. Bauer

Nonlinear QED interactions induce different polarization properties on a given probe beam. We consider the polarization effects caused by the photon-photon interaction in laser experiments, when a laser beam propagates through a constant…

High Energy Physics - Phenomenology · Physics 2017-04-03 Soroush Shakeri , Seyed Zafarollah Kalantari , She-Sheng Xue

Small parts of the electronic wavepacket of a multiple charged ion may still tunnel through the high Coulomb barrier for a sufficiently intense laser field of $10^{15}W/cm^2$ and higher. Solving numerically the corresponding Schr\"odinger…

Atomic Physics · Physics 2007-05-23 Massimo Casu , Christoph Keitel

We use three dimensional time-dependent Schr\"odinger equation (3D--TDSE) to calculate angular electron momentum distributions and photoelectron spectra of atoms driven by spatially inhomogeneous fields. An example for such inhomogeneous…

Atomic Physics · Physics 2013-06-26 M. F. Ciappina , J. A. Pérez-Hernández , T. Shaaran , L. Roso , M. Lewenstein

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 introduce an accurate non-Hermitian Schr\"odinger-type approximation of Bloch optical equations for two-level systems. This approximation provides a complete description of the excitation, relaxation and decoherence dynamics in both weak…

Quantum Physics · Physics 2016-07-11 Raiju Puthumpally-Joseph , Maxim Sukharev , Eric Charron

We analyze the two-dimensional momentum distribution of electrons ionized by few-cycle laser pulses in the transition regime from multiphoton absorption to tunneling by solving the time-dependent Schr\"odinger equation and by a…

Quantum Physics · Physics 2007-05-23 D. G. Arbó , S. Yoshida , E. Persson , K. I. Dimitriou , J. Burgdörfer

The below-threshold harmonic generation in the multiphoton ionization regime for a helium atom driven by the elliptically polarized laser field is studied numerically within the framework of two-dimensional (2D) and three-dimensional (3D)…

Optics · Physics 2024-12-11 Mikhail Yu. Emelin , Mikhail Yu. Ryabikin

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

Asymptotic observables in quantum field theory beyond the familiar $S$-matrix have recently attracted much interest, for instance in the context of gravity waveforms. Such observables can be understood in terms of Schwinger-Keldysh-type…

High Energy Physics - Theory · Physics 2024-09-03 Leron Borsten , Simon Jonsson , Hyungrok Kim

We study Bessel beams of two-level atoms that are driven by a linearly polarized laser field. Starting from the Schroedinger equation, we determine the states of two-level atoms in a plane-wave field respecting propagation directions both…

Quantum Physics · Physics 2013-08-06 Armen G. Hayrapetyan , Oliver Matula , Andrey Surzhykov , Stephan Fritzsche

High-order harmonic generation is investigated for H$_2^+$ and D$_2^+$ with and without Born-Oppenheimer approximation by numerical solution of full dimensional electronic time-dependent Schr\"{o}dinger equation under 4-cycle intense laser…

Atomic Physics · Physics 2014-10-22 Hamed Ahmadi , Ali Maghari , Hassan Sabzyan , Ali Reza Niknam , Mohsen Vafaee

In the field of high-order harmonic generation from solids, the electron motion typically exceeds the edge of the first Brillouin zone. In conventional nonlinear optics, on the other hand, the excursion of band electrons is negligible.…

Optics · Physics 2022-12-28 Jan Reislöhner , Doyeong Kim , Ihar Babushkin , Adrian N. Pfeiffer

Treating the nonlinear term of the Gross-Pitaevskii nonlinear Schrodinger equation as a perturbation of an isolated discrete eigenvalue of the linear problem one obtains a Rayleigh-Schrodinger power series. This power series is proved to be…

Mathematical Physics · Physics 2024-07-23 Andrea Sacchetti

The exact nondipole minimal-coupling Hamiltonian for an atom interacting with an explicitly time- and space-dependent laser field is transformed into the rest frame of a classical free electron in the laser field, i.e., into the…

Atomic Physics · Physics 2007-05-23 M. Forre , S. Selsto , J. P. Hansen , L. B. Madsen

The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization probability by tunneling processes. Accordingly, the perturbed ground-state energy…

Statistical Mechanics · Physics 2015-10-05 Hector Mera , T. G. Pedersen , Branislav K. Nikolic

In a recent experiment by Eichmann et al., polarization-sensitive measurements of the fluorescence from two four-level ions driven by a linearly polarized laser were made. Depending on the polarization chosen, different degrees of…

Atomic Physics · Physics 2009-10-30 T. Wong , S. M. Tan , M. J. Collett , D. F. Walls

The Helmholtz equation is a prototypical model for time-harmonic wave propagation. Numerical solutions become increasingly challenging as the wave number $k$ grows, due to the equation's elliptic yet noncoercive character and the highly…

Numerical Analysis · Mathematics 2025-08-01 Anjiao Gu , Shi Jin , Chuwen Ma

We study high-order harmonic generation in aligned molecules close to the ionization threshold. Two distinct contributions to the harmonic signal are observed, which show very different responses to molecular alignment and ellipticity of…

Atomic Physics · Physics 2011-09-16 H. Soifer , P. Botheron , D. Shafir , A. Diner , O. Raz , B. D. Bruner , Y. Mairesse , B. Pons , N. Dudovich
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