Density-based one-dimensional model potentials for strong-field simulations in $\text{He}$, ${\text{H}}_2^{+}$ and ${\text{H}}_2$

Abstract

We present results on the accurate one-dimensional (1D) modeling of simple atomic and molecular systems excited by strong laser fields. We use atomic model potentials that we derive from the corrections proposed earlier using the reduced ground state density of a three-dimensional (3D) single-active electron atom. The correction involves a change of the asymptotics of the 1D Coulomb model potentials while maintaining the correct ground state energy. We present three different applications of this method: we construct correct 1D models of the hydrogen molecular ion, the helium atom and the hydrogen molecule using improved parameters of existing soft-core Coulomb potential forms. We test these 1D models by comparing the corresponding numerical simulation results with their 3D counterparts in typical strong-field physics scenarios with near- and mid-infrared laser pulses, having peak intensities in the $10^{14}-10^{15}{W/cm}^2$ range, and we find an impressively increased accuracy in the dynamics of the most important atomic quantities on the time scale of the excitation. We also present the high-order harmonic spectra of the He atom, computed using our 1D atomic model potentials. They show a very good match with the structure and phase obtained from the 3D simulations in an experimentally important range of excitation amplitudes.

References in corpus (28)

• Attosecond physics at the nanoscale
• A two-dimensional, two-electron model atom in a laser pulse: exact treatment, single active electron-analysis, time-dependent density functional theory, classical calculations, and non-sequential ionization
• Attosecond VUV Coherent Control of Molecular Dynamics
• Ionization Time and Exit Momentum in Strong-Field Tunnel Ionization
• Time-dependent complete-active-space self-consistent-field method for atoms: Application to high-harmonic generation
• Formation of very low energy states crossing the ionization threshold of argon atoms in strong mid-infrared fields
• Strong Field Ionization in Arbitrary Laser Polarizations
• Gauge invariance and the interpretation of inter- and intraband processes in high-order harmonic generation from bulk solids
• $R$-matrix with Time-dependence Theory for Ultrafast Atomic Processes in Arbitrary Light Fields
• Any order imaginary time propagation method for solving the Schrodinger equation
• Accurate high-harmonic spectra from time-dependent two-particle reduced density matrix theory
• Improved one-dimensional model potentials for strong-field simulations
• A quantum optical model for the dynamics of high harmonic generation
• Fourth order real space solver for the time-dependent Schrödinger equation with singular Coulomb potential
• Streak Camera for Strong-Field Ionization
• Emergence of a higher energy structure in strong field ionization with inhomogeneous electric fields
• Ground States of the Hydrogen Molecule and Its Molecular Ion in the Presence of Magnetic Field Using the Variational Monte Carlo Method
• Restricted space ab initio models for double ionization by strong laser pulses
• Quantum entanglement in strong-field ionization
• Exponential Integrators in Time-Dependent Density Functional Calculations
• Oscillations in Quantum Entanglement During Rescattering
• Relativistic electron transport through an oscillating barrier: wave packet generation and Fano-type resonances
• Transition from non-sequential to sequential double ionisation in many-electron systems
• Time dependence of quantum entanglement in the collision of two particles
• Exterior time scaling with stiffness-free Lanczos time propagator: formulation and application to atoms interacting with strong mid-infrared lasers
• Numerical solutions of the time-dependent Schrodinger equation in two dimensions
• Classical versus quantum views of intense laser pulse propagation in gases
• Entropy-based view of the strong field ionization process

Cited by in corpus (5)

• Many-electron effects of strong-field ionization described in an exact one-electron theory
• Attoscience in Phase Space
• Diatomic molecule in a strong infrared laser field: level-shifts and bond-length change due to laser-dressed Morse potential
• Controlling quantum effects in enhanced strong-field ionisation with machine-learning techniques
• Control of the classical dynamics of a particle in the Morse-soft-Coulomb potential