Real-Space Wave-Packet Propagation Method: Application to Photoabsorption Processes of Hydrogen Atoms

Chen, Shaohao; Li, Jiaming

doi:10.1088/0256-307x/23/10/026

Cited by 4 publications

(2 citation statements)

References 13 publications

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“…We have used a square grid with a higher concentration of grid points near the nucleus, i.e., r i = i 2 R 0 /N 2 . Furthermore, in the present application of the method, the outer boundary (R 0 ) and the total number of grid points (N ) are chosen to be adaptive for different n and l. Larger R 0 and N are chosen for larger n and l. This kind of numerical-basis set has been used before to calculate atomic photoabsorption spectra for highly excited states as well as continuum states [33,34]. These previous results indicate that the atomic energy levels and dipole transition matrix elements can be well reproduced using the numerical-basis set.…”

Section: A Numerical-basis Statesmentioning

confidence: 99%

“…To this end, we numerically obtain finite-space energy eigenstates for the hydrogen atom in a box [33,34], represent the numericalbasis set on a grid, and propagate the system under the influence of an intense laser pulse. As examples, we calculate the transition probabilities to excited bound states and into the continuum as well as electron momentum spectra.…”

Section: Introductionmentioning

confidence: 99%

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Application of a numerical-basis-state method to strong-field excitation and ionization of hydrogen atoms

Chen

Gao

et al. 2012

Phys. Rev. A

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We apply a numerical-basis-state method to study dynamical processes in the interaction of atoms with strong laser pulses. The method is based on the numerical representation of finite-space energy eigenstates of the field-free atomic Hamiltonian in a box on a grid and the expansion of the solution of the full time-dependent Schrödinger equation, including the interaction with the field, in this numerical basis. We apply the method to the hydrogen atom and present results for excitation and ionization probabilities as well as photoelectron momentum distributions. Convergence of the results with respect to the size of the basis as well as the parallel efficiency of the numerical algorithm is studied. The results of the numerical-basis-state method are in good agreement with those of two-dimensional numerical grid calculations. The computation times for the numerical-basis-state method usually are found to be significantly smaller than those for the two-dimensional grid calculations, whereas, even higher excited states can be well represented. We further apply this method to study a few recently reported phenomena related to strong-field excitation of atoms, such as the dependence of the excitation probabilities on the carrier-envelope phase in ultrashort pulses as well as the so-called frustrated ionization.

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Section: A Numerical-basis Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of a numerical-basis-state method to strong-field excitation and ionization of hydrogen atoms

Chen

Gao

et al. 2012

Phys. Rev. A

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A Time-Dependent Approach to High-Resolution Photoabsorption Spectrum of Rydberg Atoms in Magnetic Fields

Bian

Liu

Shi

2008

Chinese Phys. Lett.

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A robust time-dependent approach to the high-resolution photoabsorption spectrum of Rydberg atoms in magnetic fields is presented. Traditionally we have to numerically diagonalize a huge matrix to solve the eigen-problem and then to obtain the spectral information. This matrix operation requires high-speed computers with large memories. Alternatively we present a unitary but very easily parallelized time-evolution method in an inexpensive way, which is very accurate and stable even in long-time scale evolution. With this method, we perform the spectral calculation of hydrogen atom in magnetic field, which agrees well with the experimental observation. It can be extended to study the dynamics of Rydberg atoms in more complicated cases such as in combined electric and magnetic fields.

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Finite Space Complete Basis Method: Precision Computation of High-Resolution Spectrum near Ionization Threshold

Gao

Chen

2009

Chinese Phys. Lett.

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A new method is proposed to describe quantum dynamical processes in finite space by using of a set of discretized complete bases. In this method, the finite space complete basis is obtained by solving the self-consistent field equation with reflecting boundary conditions. Hence, both negative and positive orbital energies can be obtained. Such method can be used in systems which involve dynamics only in the reaction zone, i.e., in a finite space. To illustrate the validity of the method, we present two examples: theoretical calculation of the high excited states spectra including the continuum of sodium and barium.

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Real-Space Wave-Packet Propagation Method: Application to Photoabsorption Processes of Hydrogen Atoms

Cited by 4 publications

References 13 publications

Application of a numerical-basis-state method to strong-field excitation and ionization of hydrogen atoms

Application of a numerical-basis-state method to strong-field excitation and ionization of hydrogen atoms

A Time-Dependent Approach to High-Resolution Photoabsorption Spectrum of Rydberg Atoms in Magnetic Fields

Finite Space Complete Basis Method: Precision Computation of High-Resolution Spectrum near Ionization Threshold

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