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Effective Dynamics of Interacting Fermions from Semiclassical Theory to the Random Phase Approximation by Benedikter, Niels is a scholarly article available to read on EtoBox.

What is Effective Dynamics of Interacting Fermions from Semiclassical Theory to the Random Phase Approximation about?

I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective theories, increasing in precision, can be distinguished: the semiclassical theory given by the Vlasov equation, the mean-field theory given by the Hartree-Fock equation, and the description of the dominant effects of non-trivial entanglement by the random phase approximation. Particular attention is given to the discussion of admissible initial data, and I present an example of a realistic quantum quench that can be approximated by Hartree-Fock dynamics.

Author

Benedikter, Niels

Published

2022

Language

EN