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Joint electron-ion energy spectra for the dissociative ionization of a model H$_2^+$ in few-cycle, infrared laser pulses are calculated via the numerical ab initio solution of the time-dependent Schr\"odinger equation. A strong,…

Atomic Physics · Physics 2017-11-21 V. Mosert , D. Bauer

An ultracold wave packet of bosonic atoms loaded into a travelling laser wave may form a many-atom soliton.This is disturbed by a homogeneous force field, for example by the inevitable gravitation. The wave packet is accelerated and…

Condensed Matter · Physics 2009-10-30 Markus Holzmann , Juergen Audretsch

We discuss a method of solving the time dependent Schrodinger equation for atoms with two active electrons in a strong laser field, which we used in a previous paper [A. Scrinzi and B. Piraux, Phys. Rev. A 56, R13 (1997)] to calculate…

Atomic Physics · Physics 2014-05-19 Armin Scrinzi , Bernard Piraux

We develop an approach describing nonlinear-optical processes in the strong-field domain characterized by the nonperturbative field-with-matter interaction. The polarization of an isolated atom in the external field calculated via the…

Atomic Physics · Physics 2016-05-18 V. V. Strelkov

We present a method for accurately computing transition probabilities in one-dimensional photoionization problems. Our approach involves solving the time-dependent Schr\"odinger equation and projecting its solution onto scattering states…

Computational Physics · Physics 2025-04-10 Martín Barlari , Diego G. Arbó , María Silvia Gravielle , Darío M. Mitnik

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

One-atom laser based on electromagnetically-induced transparency, suggested recently [Phys. Rev. Lett. 124, 093603 (2020)], is capable of generating Schr\"odinger cat states in the regime of strong ground-state coupling. In this regime, we…

Quantum Physics · Physics 2021-09-28 Dmitri B. Horoshko , Chang-shui Yu , Sergei Ya. Kilin

This report discusses two new ideas for using perturbation methods to solve the time-independent Schr\"odinger equation. The first concept begins with rewriting the perturbation equations in a form that is closely related to matrix…

Quantum Physics · Physics 2013-10-25 Gerald I. Kerley

In this paper, a Hirota method is developed for applying to the nonlinear Schr\"odinger equation with arbitrary time-dependent linear potential which denotes the dynamics of soliton solutions in quasi-one-dimensional Bose-Einstein…

Other Condensed Matter · Physics 2010-12-30 Zai-Dong Li , Qiu-Yan Li , Xing-Hua Hu , Zhong-Xi Zheng , Yu-Bao Sun

The method of the envelope Hamiltonian [K. Toyota, U. Saalmann, and J. M. Rost, New J. Phys. {\bf 17}, 073005~(2015)] is applied to further study a detachment dynamics of a model negative ion in one-dimension in high-frequency regime. This…

Atomic Physics · Physics 2016-10-19 Koudai Toyota

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

We consider a simple modification of the 1D-Laplacian where non-mixed interface conditions occur at the boundaries of a finite interval. It has recently been shown that Schr\"odinger operators having this form allow a new approach to the…

Mathematical Physics · Physics 2015-06-11 Andrea Mantile

We construct certain higher order smooth positon and breather positon solutions of an extended nonlinear Schr\"odinger equation with the cubic and quartic nonlinearity. We utilize the generalized Darboux transformation method to construct…

Pattern Formation and Solitons · Physics 2022-07-26 S. Monisha , N. Vishnu Priya , M. Senthilvelan , S. Rajasekar

Dynamics of solitons is considered in an extended nonlinear Schr\"odinger equation, including a pseudo-stimulated-Raman-scattering (pseudo-SRS) term (scattering on damping low-frequency waves, third-order dispersion (TOD) and inhomogeneity…

Pattern Formation and Solitons · Physics 2016-03-01 A. V. Aseeva , L. G. Blyakhman , E. M. Gromov , V. V. Tyutin

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 alignment- and internuclear-distance dependent ionization of H$_2$ exposed to intense, ultrashort laser fields is studied by solving the time-dependent two-electron Schr\"odinger equation. In the regime of perturbative few-photon…

Atomic Physics · Physics 2015-06-23 Johann Förster , Yulian V. Vanne , Alejandro Saenz

We calculate the high-harmonic generation (HHG) spectra, strong-field ionization, and time-dependent dipole-moment of Ne using explicitly time-dependent optimized second-order many-body perturbation method (TD-OMP2) where both orbitals and…

Chemical Physics · Physics 2020-08-18 Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa

Two different induced effects of a laser falling edge on high-order harmonic generation are resolved by solving numerically full-dimensional electronic time-dependent Schr\"{o}dinger equation beyond the Born-Oppenheimer approximation. The…

Atomic Physics · Physics 2017-02-01 M. Vafaee , H. Ahmadi , A. Maghari

In this paper, the trial function method is employed to find the exact solutions for high-order nonlinear Schr\"odinger equations with time-dependent coefficients. This system describes the propagation of ultrashort light pulses in…

Pattern Formation and Solitons · Physics 2020-10-15 Xin-Lei Mai , Wei Li

The limit of decreasing laser frequency can not be considered independently from nondipole effects due to increase in the laser-induced continuum electron speed in this limit. Therefore, in this work, tunneling ionization in the adiabatic…

Atomic Physics · Physics 2024-04-12 Lars Bojer Madsen