Light-Matter Interactions via the Exact Factorization Approach

European Physical Journal B 91: 180 (2018)

Light-Matter Interactions via the Exact Factorization Approach

Norah M. Hoffmann,Heiko Appel,Angel Rubio, Neepa T. Maitra

The exact factorization approach, originally developed for electron-nuclear dynamics, is extended to light-matter interactions within the dipole approximation. This allows for a Schr¨odinger 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 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.

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We acknowledge financial support from the European Research Council(ERC-2015-AdG-694097), Grupos Consolidados (IT578-13), and European Union’s H2020 programme underGAno.676580 (NOMAD) (NMH, HA, and AR). Financial support from the US National Science Foundation CHE-1566197 is also gratefully acknowledged (NTM).

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