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Benchmarking Semiclassical and Perturbative Methods for Real-time Simulations of Cavity-Bound Emission and Interference

MPS-Authors
/persons/resource/persons207335

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

/persons/resource/persons180973

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

/persons/resource/persons243087

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

/persons/resource/persons22028

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

/persons/resource/persons21304

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

/persons/resource/persons196584

Kelly,  A.
Department of Physics, University of hamburg;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
Department of Chemistry, Dalhousie University;

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1909.07177.pdf
(Preprint), 727KB

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Citation

Hoffmann, N., Schäfer, C., Säkkinen, N., Rubio, A., Appel, H., & Kelly, A. (2019). Benchmarking Semiclassical and Perturbative Methods for Real-time Simulations of Cavity-Bound Emission and Interference.


Cite as: http://hdl.handle.net/21.11116/0000-0005-43F7-9
Abstract
We benchmark a selection of semiclassical and perturbative dynamics techniques by investigating the correlated evolution of a cavity-bound atomic system to assess their applicability to study problems involving strong light-matter interactions in quantum cavities. The model system of interest features spontaneous emission, interference, and strong coupling behaviour, and necessitates the consideration of vacuum fluctuations and correlated light-matter dynamics. We compare a selection of approximate dynamics approaches including fewest switches surface hopping, multi-trajectory Ehrenfest dynamics, linearized semiclasical dynamics, and partially linearized semiclassical dynamics. Furthermore, investigating self-consistent perturbative methods, we apply the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy in the second Born approximation. With the exception of fewest switches surface hopping, all methods provide a reasonable level of accuracy for the correlated light-matter dynamics, with most methods lacking the capacity to fully capture interference effects.