A Central Limit Theorem in Many-Body Quantum Dynamics

Understand

We study the many body quantum evolution of bosonic systems in the mean field limit.

• The dynamics is known to be well approximated by the Hartree equation.
• So far, the available results have the form of a law of large numbers.
• In this paper we go one step further and we show that the fluctuations around the Hartree evolution satisfy a central limit theorem.