Pseudospectral method with symplectic algorithm for the solution of time-dependent Schrödinger equations

The above-threshold detachment of ions induced by a linearly polarized few-cycle laser pulse is investigated theoretically using the strong-field approximation model without considering the rescattering mechanism. We first derive an analytical form of transition amplitude for describing the strong-field photodetachment of ions. The integration over time in transition amplitude can be performed using the numerical integration method or the saddle-point (SP) method of Shearer et al. [Phys. Rev. A 88 (2013) 033415]. The validity of the SP method is carefully examined by comparing the energy spectra and photoelectron angular distributions (PADs) with those obtained from the numerical integration method. By considering the volume effect of a focused laser beam, both the energy spectra and the low-energy PADs calculated by the numerical integration method agree very well with the experimental results.

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Angle-Resolved Electron Spectra of ${{\rm{F}}}^{-}$ Ions by Few-Cycle Laser Pulses

Chen

Zhao

Wang

et al. 2017

Chinese Phys. Lett.

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Phase-dependent quantum interference between different pathways in bichromatic harmonic generation

2009

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This paper studies the harmonic generation of the hydrogen atom subjected to a collinear bichromatic laser field by numerically solving the time-dependent Schrödinger equation using the split-operator pseudo-spectral method. By adding a frequency variation to the additional field, the contributions of different pathways to particular order harmonic generation can be isolated. The quantum interference pattern between harmonic pathways, which influences the harmonic intensity, is found to be either constructive or destructive with respect to different relative phase of the two field components. Detailed description of up to the 35th-order harmonics and the harmonic pathways for a wide range of field parameters is presented.

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Bohmian mechanics to high-order harmonic generation

2010

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Pseudospectral method with symplectic algorithm for the solution of time-dependent Schrödinger equations

Cited by 7 publications

References 25 publications

Angle-Resolved Electron Spectra of ${{\rm{F}}}^{-}$ Ions by Few-Cycle Laser Pulses

Angle-Resolved Electron Spectra of ${{\rm{F}}}^{-}$ Ions by Few-Cycle Laser Pulses

Phase-dependent quantum interference between different pathways in bichromatic harmonic generation

Bohmian mechanics to high-order harmonic generation

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