Benjamin Schlein - "Quantum fluctuations around the nonlinear Schroedinger equation"
We consider a class of bosonic systems characterised by a two-body potential interpolating between mean field and Gross-Pitaevskii interaction. The limiting dynamics can be approximated by a nonlinear Schroedinger equation with a local nonlinearity. We study fluctuations around the nonlinear Schroedinger equation and prove that they can be described on the Fock space by an evolution with a quadratic generator. This is joint work with Serena Cenatiempo and Chiara Boccato.
