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Light-matter interactions via the exact factorization approach

Author

Listed:
  • Norah M. Hoffmann

    (Max Planck Institute for the Structure and Dynamics of Matter and Center for Free-Electron Laser Science and Department of Physics
    Hunter College of the City University of New York)

  • 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
    Center for Computational Quantum Physics, Flatiron Institute)

  • Neepa T. Maitra

    (Hunter College of the City University of New York
    The Physics Program and the Chemistry Program of the Graduate Center of the City University of New York)

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.

Suggested Citation

  • Norah M. Hoffmann & Heiko Appel & Angel Rubio & Neepa T. Maitra, 2018. "Light-matter interactions via the exact factorization approach," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(8), pages 1-14, August.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:8:d:10.1140_epjb_e2018-90177-6
    DOI: 10.1140/epjb/e2018-90177-6
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    Cited by:

    1. Ali Abedi & Elham Khosravi & Ilya V. Tokatly, 2018. "Shedding light on correlated electron–photon states using the exact factorization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(8), pages 1-12, August.

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