Light-matter interactions via the exact factorization approach

Norah M. Hoffmann (), Heiko Appel (), Angel Rubio () and Neepa T. Maitra ()
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Norah M. Hoffmann: Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science and Department of Physics
Heiko Appel: Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science and Department of Physics
Angel Rubio: Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science and Department of Physics
Neepa T. Maitra: Hunter College of the City University of New York

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 8, 1-14

Abstract: Abstract The exact factorization approach, originally developed for electron-nuclear dynamics, is extended to light-matter interactions within the dipole approximation. This allows for a Schrödinger equation for the photonic wavefunction, in which the potential contains exactly the effects on the photon field of its coupling to matter. We illustrate the formalism and potential for a two-level system representing the matter, coupled to an infinite number of photon modes in the Wigner-Weisskopf approximation, as well as to a single mode with various coupling strengths. Significant differences are found with the potential used in conventional approaches, especially for strong couplings. We discuss how our exact factorization approach for light-matter interactions can be used as a guideline to develop semiclassical trajectory methods for efficient simulations of light-matter dynamics.

Date: 2018
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DOI: 10.1140/epjb/e2018-90177-6

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