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Light-matter interactions via the exact factorization approach

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Hoffmann,  N.
International Max Planck Research School for Ultrafast Imaging & Structural Dynamics (IMPRS-UFAST), Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science and Department of Physics;
Department of Physics and Astronomy, Hunter College of the City University of New York;

Appel,  H.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science and Department of Physics;

Rubio,  A.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science and Department of Physics;
Center for Computational Quantum Physics, Flatiron Institute;

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Citation

Hoffmann, N., Appel, H., Rubio, A., & Maitra, N. T. (2018). Light-matter interactions via the exact factorization approach. The European Physical Journal B: Condensend Matter Physics, 91(8): 180. doi:10.1140/epjb/e2018-90177-6.


Cite as: http://hdl.handle.net/21.11116/0000-0005-DCA1-D
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 Schrodinger 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.