Attosecond electron dynamics: A multiresolution approach

Attosecond electron dynamics: A multiresolution approach

We establish a numerical solution to the time-dependent Schroedinger equation employing an adaptive, discontinuous spectral element basis that automatically adjusts to the requested precision. The explicit time evolution is accomplished by a band-limited, gradient-corrected, symplectic propagator an...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Vol. 85; no. 3
Main Authors: Vence, Nicholas, Harrison, Robert, Krstić, Predrag
Format: Journal Article
Language:English
Published: United States American Physical Society 02-03-2012
Subjects:
Computational efficiency
Evolution
Lasers
Mathematical analysis
Mathematical models
Representations
Spectra
Three dimensional
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Summary:We establish a numerical solution to the time-dependent Schroedinger equation employing an adaptive, discontinuous spectral element basis that automatically adjusts to the requested precision. The explicit time evolution is accomplished by a band-limited, gradient-corrected, symplectic propagator and uses separated representations of operators for efficient computation in multiple dimensions. We illustrate the method calculating accurate bound and continuum transition probabilities along with the photoelectron spectra for H(1s), He super(+) (1s), and Li super(2+) (2s) in three dimensions and H super(+) sub(2) in three and four dimensions under a two-cycle attosecond laser pulse with driving frequency of 36 eV and an intensity of 1x10 super(15) W/cm super(2).
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content type line 23
USDOE
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.85.033403