Beyond Bogoliubov dynamics

We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to Bogoliubov dynamics that approximate true N-body norm arbitrary precision. The N-independent are given terms solutions Hartree equations satisfy generalized form Wick's theorem. determine n-point correlation functions excitations around condensate, as well reduced densities system, accuracy, only knowledge two-point quasi-free state solution equation. In this way, complex problem computing all for an is essentially solving equation PDEs functions.