Stabilization of an atom in a strong high-frequency field

The dynamics of a classical model two-electron atom in a strong high-frequency electromagnetic field is investigated by numerical integration. It is found that, with an increase in the field intensity, the system demonstrates enhanced stability with respect to ionization. It is shown that stabilization arises due to the formation of a new object—a Kramers-Henneberger atom.     

Numerical simulation of the ionization dynamics of a two-electron quantum system in a femtosecond pulse

The ionization of a simple two-electron model system, viz., the one-dimensional negative hydrogen ion, is investigated using direct numerical integration of the time-dependent Schrödinger equation. The one-and two-electron ionization probabilities as functions of frequency and radiation intensity are obtained. It is shown that two-electron ionization is mediated by both direct and sequential mechanisms. The stabilization of the two-electron system against the ionization process is investigated. The data obtained are compared with calculations performed within the one-dimensional single-particle model of H^?. The photoelectron spectrum is analyzed in the region of parameters corresponding to the single-electron ionization regime.     

Nondispersive two-electron wave packets in a helium atom

We demonstrate the existence of stable nondispersing two-electron wave packets in the helium atom in combined magnetic and circularly polarized microwave fields. These packets follow circular orbits and we show that they can also exist in quantum dots. Classically the two electrons follow trajectories which resemble orbits discovered by Langmuir and which were used in attempts at a Bohr-like quantization of the helium atom. Eigenvalues of a generalized Hessian matrix are computed to investigate the classical stability of these states. Diffusion Monte Carlo simulations demonstrate the quantum stability of these two-electron wave packets in the helium atom and quantum-dot helium with an impurity center.     

Calculation of the Lowest <Superscript>2</Superscript><Emphasis Type="Italic">S</Emphasis> Resonance State of He<Superscript>−</Superscript> by a Stabilization Method

The parameters of the lowest ²S resonance state of the He^? system were calculated using the Coulomb potential stabilization method. It was found that the errors of the resonance energy and width have the same character as that in the earlier studied two-electron systems H^?, He, and Li⁺. It was shown that the errors can be minimized using a single-electron basis sets, which provides the best reproduction of the low-lying states of the helium atom.     

Asymptotic Structure in the Classically Forbidden Region of the Hooke’s Atoms

The two-electron Hooke's atom - a quantum mechanical system with two electrons bound in a harmonic potential - is well known for its exact analytical properties at certain oscillator strengths. The Hooke's atoms with more than two electrons offer more scope for valuable practical applications. In this work, we study the asymptotic structure of these Hooke's atoms in the classically forbidden region. The leading-order term of the long-range expression for the KS exchange-correlation potential v xc (r) is shown to be-1/r. The second and third higher order terms are also exactly obtained. Various components of v xc (r) are also studied. It is shown that the leading term of O(1/r) in vxc (r) is due to the pure Pauli correlation, while the leading contribution of the Coulomb correlation is of O(1/r3 ). Neither of them makes contribution to the term of O(1/r2 ), which is shown to be solely due to the kinetic correlation effect. Results for the two-electron Hooke's atom were obtained before in the literature. Our results reduce to those of the two-electron Hooke's atom as a special case.     

Regarding the Main Spectral Lines of a Two-dimensional Two-Electron Atom

Russian Physics Journal - The energy of a two-dimensional two-electron atom is calculated in its lowest excited states; together with the previously calculated energy in the ground state, this...     

Two-electron states and state exchange time control in parabolic quantum dot

Using the Heisenberg uncertainty relationship and the stationary perturbation theory we consider two-electron states in a spherically symmetric parabolic quantum dot (parabolic helium atom). The dependence of ground-state energy on the QD size is studied. The energy of two-electron system monotonically decreases with QD radius increase. The problem of the state exchange time control in QD is discussed, taking into account the spins of the electrons in the Russell–Saunders approximation. With the increase of the QD radius the state exchange time increases.     

Attosecond pulse generation from two-electron harmonic emission spectrum

In this paper, we theoretically investigate the high-order harmonic generation and attosecond pulse generation when a two-electron He atom is exposed to the intense laser pulse. It shows that due to the two-electron double recombination mechanism, an extended plateau beyond the classical single-electron harmonic has been obtained on the two-electron harmonic spectrum. Further by using this two-electron harmonic extension scheme combined with the two-color field, two supercontinuum bandwidths with 200 e V have been obtained. As a result, a series of sub-60 as extreme ultraviolet(XUV)pulses have been directly generated.     

Note on critical cage size for ionization of confined two-electron systems

The use of independent confinement models for the neutral and ionized two-electron atom or molecule to obtain the critical cage size for ionization is shown to be formally inconsistent. Instead, a treatment using the same Hamiltonian for the evolution of the ground state energy of the system is proposed, which allows for a consistent estimate of the first and second ionization energies as a function of cage size. Our calculations are based on the variational method applied to the helium atom confined by a spherical cage with impenetrable and penetrable confining walls.     

Calculation of the Screening Constant and Energy of a Two-Electron Atom

Russian Physics Journal - Using the results of a paper previously published by the author, general expressions have been obtained for the energy and screening constant for a two-electron atom for...     

One-particle characteristics of the approximation of singly filled orbitals in a two-electron system

A Hamiltonian is given for the approximation of singly filled orbitals in a two-electron system. Analysis of the one-particle Green's function leads to equations describing quasiparticles and quasiholes of the system, and the one-particle energies are found. The equations for the quasiholes turn out to differ from those for the wave functions of singly filled orbitals. Numerical results are found through the use of the simple Hylleraas-Eckart function and are given for the helium atom.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 11, pp. 84–90, November, 1969.     

Ionization and stabilization of a three-dimensional system with a short-range potential in a strong laser field

The interaction of a three-dimensional atomic system in a short-range potential with intense laser radiation is investigated by the direct numerical integration of the nonstationary Schrödinger equation. The calculations helped to discover a stabilization regime, which is interpreted as a result of forming a Kramers-Henneberger atom “dressed” in a field. Dynamics of the energy spectrum of photoelectrons depending on the increase of the laser field intensity is investigated, and conditions of a photodetachment of an electron from a bound state of the Kramers-Henneberger potential are analyzed. These results reveal specific features of the stabilization process of the three-dimensional system with a short-range potential compared to the similar process in a system with a long-range (Coulomb) potential.     

Comparative analysis of the strong-field ionization of a quantum system with the Coulomb and short-range potentials

The dynamics of a hydrogen atom and a 3D model quantum system with a short-range potential is investigated using the direct numerical integration of the nonstationary Schrödinger equation in a wide range of laser intensities and frequencies. The simulation data are compared with the predictions of variants of the Keldysh-type theories. It is demonstrated that, in the low-frequency (tunnel) limit, the ionization rates of the systems with the Coulomb and short-range potentials and the same values of the ionization potential significantly differ from each other whereas, in the high-frequency (single-photon) limit, we do not observe a substantial difference between the ionization rates. Specific features of the angular distribution of the photoelectron emission and the photoelectron energy spectra are investigated in detail. In addition, the ionization suppression is studied for both Coulomb- and short-range-potential atoms. The stabilization is due to the dramatic reconstruction of the atom in the presence of a strong laser field and the formation of a new system (Kramers-Henneberger atom) that exhibits an increasing resistance to the ionization upon an increase in the laser intensity. In the two-photon ionization regime, the stabilization phenomenon is substantially more pronounced for the system with the Coulomb potential. This results from the effective excitation of the Rydberg states of the dressed atom in the strong-field limit.     

Electronic Structure of Helium Atom in a Quantum Dot

Bound and resonance states of helium atom have been investigated inside a quantum dot by using explicitly correlated Hylleraas type basis set within the framework of stabilization method.To be specific,precise energy eigenvalues of bound 1sns(~1S~e)(n=1-6)states and the resonance parameters i.e.positions and widths of~lS~e states due to 2sns(n=2-5)and 2pnp(n=2-5)configurations of confined helium below N=2 ionization threshold of He~+have been estimated.The two-parameter(Depth and Width)finite oscillator potential is used to represent the confining potential due to the quantum dot.It has been explicitly demonstrated that the electronic structural properties become sensitive functions of the dot size.It is observed from the calculations of ionization potential that the stability of an impurity ion within a quantum dot may be manipulated by varying the confinement parameters.A possibility of controlling the autoionization lifetime of doubly excited states of two-electron ions by tuning the width of the quantum cavity is also discussed here.     

The fluorescence spectrum of a three-level atom in two-photon resonance with the laser field

The influence of the two-photon resonant interaction on the fluoresence spectrum of a three-level atom is studied. The levels in questions are the 1S, 2P and 3S states of a two-electron atom. It is shown, that in the case of exact two-photon resonance between the 1S–3S transition and the laser field, and when the 2P state is out of resonance, the fluorescence spectrum contains 4 lines. The properties of these lines are discussed.     

Generation of XUV attosecond pulses in the process of atomic ionization by few-cycle laser radiation

Ionization of a model two-electron atom in the presence of a strong field of ultrashort laser pulses is investigated using the numerical integration of the nonstationary Schrödinger equation, which describes the dynamics of a quantum system in the presence of an electromagnetic wave. The features of two-electron ionization in the presence of one-and two-cycle pulses are analyzed. The suppression of double ionization in the presence of ultrashort laser pulses related to a finite-time interelectron energy exchange upon the laser action is demonstrated. The features of the generation of high-order harmonics and single XUV attosecond pulses are studied for the atomic ionization by few-cycle laser pulses. The parameters of the laser pulse are optimized for the effective generation of a single XUV attosecond pulse.     

Peculiarities of the ionization of many-electron systems and generation of attosecond pulses in ultrashort laser fields

The ionization of a model two-electron atom in the field of a strong ultrashort laser pulse is studied by numerical integration of the nonstationary Schrödinger equation describing the dynamics of a quantum system in the field of an electromagnetic wave. Pecularities of the two-electron ionization are analyzed for pulses whose duration amounts to one to two periods of oscillation of the electric field of the wave at different frequencies of the incident radiation. For extremely short pulses, the double ionization is found to be suppressed. This effect is caused by the finiteness of the interelectron energy exchange time during the laser action. Peculiarities of the generation of high-order harmonics and single XUV attosecond pulses upon ionization of atoms by laser pulses, whose duration is within one to two optical cycles, are investigated.     

The lamb shift in helium from a self-consistent field theory of electrodynamics

In this paper we present the results of an investigation of the finite self-consistent field theory of electrodynamics applied earlier to the calculation of the Lamb shift in hydrogen (Sachs & Schwebel, 1961; Sachs, 1972), now applied to the problem of the Lamb shift in the low-lying states of Helium. We construct the covariant nonlinear field equations of this theory for Helium, from the Lagrangian formalism. In the linear approximation, the Hamiltonian associated with this field theory for the two-electron atom is set up. It is equivalent to the Breit Hamiltonian plus two extra terms. This generalization is a direct consequence of the two-component spinor formalism of the factorization of the Maxwell theory of electromagnetism that is contained in this theory of electrodynamics (Sachs, 1971). Thus, the energy spectrum predicted for the Helium atom is the spectrum predicted by the Breit Hamiltonian, shifted by amounts in the different energy states according to the effects of the extra terms in the Hamiltonian. The latter can be associated with the corrections to the Helium spectrum that are conventionally attributed to the Lamb shift. The level shifts for the 1¹ S and 2³ S states are calculated using the Foldy-Wouthuysen transformation, with the generalization of Charplvy for the two-electron atom. The results are found to be in close agreement with the experimental values for the energy shifts not predicted by the Dirac theory, and with the theoretical values predicted by quantum electrodynamics.     

计算双电子原子基态能量的坐标张弛变分法

给出了一种计算双电子原子基态能量和波函数的坐标张弛的变分方法.同时,利用Matlab语言开发了一个软件程序,对He原子和类He离子的基态能量进行了变分计算.     

Energy Spectra of the Confined Atoms Obtained by Using B-Splines

We have calculated the energy spectra of one- and two-electron atoms (ions) centered in an impenetrable spherical box by variational method with B-splines as basis functions. Accurate results are obtained for both large and small radii of confinement. The critical box radius of confined hydrogen atom is also calculated to show the usefulness of our method. A partial energy degeneracy in confined hydrogen atom is found when the radius of spherical box is equal to the distance at which a node of single-node wavefunctions of free hydrogen atom is located.