

Introduction to the Physics of the KPZ Universality Class (3/3)
By Kazumasa Takeuchi
Appears in collection : 2018 - T2 - WS2 - Quantum control and feedback: foundations and applications
Joint work with Marco Caponigro.
In this talk we show that under generic (and reasonably explicit) conditions, a controlled bilinear Schrödinger equation with discrete-spectrum drift is exactly controllable in projections on any finite sum of eigenspaces. The proof of this result is based on rigorous decoupling estimates between finite-dimensional reductions and the complete infinite-dimensional dynamics, coupled with finite-dimensional Lie-algebraic control techniques and classical topological arguments issuing from degree theory.