Investigation of the generation of high-order harmonics through Bohmian trajectories

Yang, Song; Guo, Fei; Li, Suyu; Chen, Ji-Gen; Zeng, Siliang; Yang, Yu-Jun

doi:10.1103/physreva.86.033424

Cited by 35 publications

(35 citation statements)

References 19 publications

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“…The harmonic generation spectrum can be calculated from the Fourier transform of the electric dipole induced in an atom inside an oscillating field, which corresponds to the mean position of the electron inside a hydrogen atom. It has been shown that trajectories from different parts of the electron wave packet contribute to different parts of the harmonic spectrum [89]. On the one hand, those trajectories starting far from the nucleus which ionize and oscillate with the field frequency provide a better representation of the low-frequency part of the spectrum.…”

Section: Intense Light-matter Interactionmentioning

confidence: 99%

Applied Bohmian mechanics

et al. 2014

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Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard quantum theories have different formalisms, both give exactly the same predictions for all phenomena. Fifteen years ago, the quantum chemistry community began to study the practical usefulness of Bohmian mechanics. Since then, the scientific community has mainly applied it to study the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectorybased explanation of complicated quantum phenomena. Here we present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for this kind of problems (where the Bohmian and the quantum hydrodynamic formalisms coincide). In addition, this work also emphasizes that the Bohmian formalism can be a useful tool in other types of (nonunitary and nonlinear) quantum problems where the influence of the environment or the nonsimulated degrees of freedom are relevant. This review contains also examples on the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. The ability of the Bohmian formalism to analyze this last type of problems for (open) quantum systems remains mainly unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory among the scientific community will be greatly influenced by its potential success in those types of problems that present nonunitary and/or nonlinear quantum evolutions. A brief introduction of the Bohmian formalism and some of its extensions are presented in the last part of this review.

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Section: Intense Light-matter Interactionmentioning

confidence: 99%

Applied Bohmian mechanics

et al. 2014

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“…The calculation of the quantum potential or guiding waves requires the knowledge of the N -electron wave function, thus we need some approximation. It is not obvious how to systematically improve such approximation, although Bohmian trajectories extracted from the wave function calculated with other methods give some insights into strong-field phenomena [31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

A Review on Ab Initio Approaches for Multielectron Dynamics

Ishikawa

Sato

2015

IEEE J. Select. Topics Quantum Electron.

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In parallel with the evolution of femtosecond and attosecond laser as well as free-electron laser technology, a variety of theoretical methods have been developed to describe the behavior of atoms, molecules, clusters, and solids under the action of those laser pulses. Here we review major ab initio wave-function-based numerical approaches to simulate multielectron dynamics in atoms and molecules driven by intense long-wavelength and/or ultrashort short-wavelength laser pulses. Direct solution of the time-dependent Schrödinger equation (TDSE), though its applicability is limited to He, H2, and Li, can provide an exact description and has been greatly contributing to the understanding of dynamical electron-electron correlation. Multiconfiguration self-consistent-field (MCSCF) approach offers a flexible framework from which a variety of methods can be derived to treat both atoms and molecules, with possibility to systematically control the accuracy. The equations of motion of configuration interaction coefficients and molecular orbitals for general MCSCF ansatz have recently been derived. Time-dependent extension of the R-matrix theory, originally developed for electron-atom collision, can realistically and accurately describe laser-driven complex multielectron atoms.

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“…The followed question will be when and how the electron is diffracted to construct rings either in spatial or momentum distribution. To see that, we showed some typical Bohmian trajectories [26][27][28][29] in Fig. 3 (c).…”

Section: Simulation Resultsmentioning

confidence: 96%

Fraunhofer-like diffracted lateral photoelectron momentum distributions ofH2+in charge-resonance-enhanced ionization in strong laser fields

Xin

Qin

et al. 2015

Phys. Rev. A

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For H + 2 at the critical internuclear distance where the charge-resonance enhanced ionization is most prominent, the lateral photoelectron momentum distribution presents the Fraunhofer-like diffraction pattern: a central disk surrounded by one or more rings. We study this phenomenon by simulating the time-dependent Schrödinger equation and unveil the mechanism: the stretched molecule constructs an interatomic Coulomb potential, which works as a circular aperture and diffracts the electron when it travels between two nuclei. This distinct lateral photoelectron momentum distribution offers a new perspective to look into molecular structures.

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Investigation of the generation of high-order harmonics through Bohmian trajectories

Cited by 35 publications

References 19 publications

Applied Bohmian mechanics

Applied Bohmian mechanics

A Review on Ab Initio Approaches for Multielectron Dynamics

Fraunhofer-like diffracted lateral photoelectron momentum distributions ofH2+in charge-resonance-enhanced ionization in strong laser fields

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