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  Modeling electron dynamics coupled to continuum states in finite volumes with absorbing boundaries

De Giovannini, U., Larsen, A. H., & Rubio, A. (2015). Modeling electron dynamics coupled to continuum states in finite volumes with absorbing boundaries. European Physical Journal B, 88(3): 56. doi:10.1140/epjb/e2015-50808-0.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-CBA5-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-F527-F
Genre: Journal Article

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1409.1689v1.pdf (Preprint), 971KB
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2014
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© U. De Giovannini et al.
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https://dx.doi.org/10.1140/epjb/e2015-50808-0 (Publisher version)
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http://arxiv.org/abs/1409.1689 (Preprint)
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 Creators:
De Giovannini, Umberto1, Author
Larsen, Ask Hjorth1, Author
Rubio, Angel1, 2, Author              
Affiliations:
1 Nano-Bio Spectroscopy Group and ETSF Scientific Development Centre, Departamento de Física de Materiales, Universidad del País Vasco, CSIC-UPV/EHU-MPC and DIPC, Avenida de Tolosa 72, 20018, San Sebastián, Spain, ou_persistent22              
2Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2074320              

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Free keywords: Condensed Matter Physics; Physics, general; Statistical Physics, Dynamical Systems and Complexity; Fluid- and Aerodynamics; Solid State Physics
 Abstract: Absorbing boundaries are frequently employed in real-time propagation of the Schrödinger equation to remove spurious reflections and efficiently emulate outgoing boundary conditions. These conditions are a fundamental ingredient for the calculation of observables involving infinitely extended continuum states in finite volumes. In the literature, several boundary absorbers have been proposed. They mostly fall into three main families: mask function absorbers, complex absorbing potentials, and exterior complex-scaled potentials. To date none of the proposed absorbers is perfect, and all present a certain degree of reflections. Characterization of such reflections is thus a critical task with strong implications for time-dependent simulations of atoms and molecules. We introduce a method to evaluate the reflection properties of a given absorber and present a comparison of selected samples for each family of absorbers. Further, we discuss the connections between members of each family and show how the same reflection curves can be obtained with very different absorption schemes.

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Language(s): eng - English
 Dates: 2014-11-202015-01-232015-03-092015-03
 Publication Status: Published in print
 Pages: 12
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1140/epjb/e2015-50808-0
arXiv: 1409.1689
 Degree: -

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Title: European Physical Journal B
  Other : Eur. Phys. J. B
Source Genre: Journal
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Publ. Info: Heidelberg : Springer-Verlag Heidelberg
Pages: - Volume / Issue: 88 (3) Sequence Number: 56 Start / End Page: - Identifier: ISSN: 1434-6028
CoNE: /journals/resource/954927001233