# Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron

Nikolai Leopold, David Mitrouskas, Simone Rademacher, Benjamin Schlein, Robert Seiringer

Nikolai Leopold, David Mitrouskas, Simone Rademacher, Benjamin Schlein, Robert Seiringer

**5/5/20**Published in : arXiv:2005.02098

We consider the Fröhlich Hamiltonian with large coupling constant /alpha. For initial data of Pekar product form with coherent phonon field and with the electron minimizing the corresponding energy, we provide a norm approximation of the evolution, valid up to times of order /alpha^2. The approximation is given in terms of a Pekar product state, evolved through the Landau-Pekar equations, corrected by a Bogoliubov dynamics taking quantum fluctuations into account.