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Regensburg 2025 – wissenschaftliches Programm

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O: Fachverband Oberflächenphysik

O 87: Plasmonics and Nanooptics: Light-Matter Interaction, Spectroscopy I

O 87.8: Vortrag

Donnerstag, 20. März 2025, 16:45–17:00, H4

Investigation of light-matter coupling in tight binding models — •Jonas Reimann1,2, Michael Ruggenthaler1,2, and Angel Rubio1,2,31Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany — 2Center for Free-Electron Laser Science, Luruper Chaussee 149, 22761 Hamburg, Germany — 3Center for Computational Quantum Physics, The Flatiron Institute, New York, NY, USA

The theoretical and mathematical foundations for light-matter interactions in a continuum theory are well-established. With the Pauli-Fierz Hamiltonian as the basic building block there is a starting Hamiltonian with all the required properties to study systems containing both matter and light. This can for example be used in the arising field of cavity material engineering where the interplay of light and matter is utilized to design new material properties.

How to imprint these mathematical properties onto tight-binding models describing such materials is at the center of a long-ongoing discussion. A widely deployed approach in this context is the Peierls substitution, coupling light to the hopping elements of the matter Hamiltonian. In this contribution we investigate the reliability of the Peierls substitution in terms of fundamental light-mattter coupling properties within the context of cavity material engineering.

Keywords: Light-matter coupling; Tight-binding models; Peierls substitution

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