Norm approximation for the Fröhlich dynamics in the mean-field regime
نویسندگان
چکیده
We study the time evolution of Fröhlich Hamiltonian in a mean-field limit which many particles weakly couple to quantized phonon field. Assuming that are initially Bose-Einstein condensate and excitations field coherent state we provide an effective dynamics approximates evolved many-body norm, provided number is large. The approximation given by product evolves according Landau–Pekar equations corrected Bogoliubov dynamics. In addition, extend results from Leopold et al. (2021) [27] about trace-norm topology larger class initial states with improved rate convergence.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.109979