Beyond Bogoliubov dynamics

@article{Bomann2019BeyondBD,
  title={Beyond Bogoliubov dynamics},
  author={Lea Bo{\ss}mann and Soren Petrat and Peter Pickl and Avy Soffer},
  journal={Pure and Applied Analysis},
  year={2019}
}
We consider a quantum system of N interacting bosons in the mean field scaling regime. We construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm to arbitrary precision. The corrections are such that they can be explicitly computed in an N-independent way from the solutions of the Bogoliubov and Hartree equations and satisfy a generalized form of Wick's theorem. We determine the n-point correlation functions of the excitations around the mean field, as… 

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