Speaker
Paolo Facchi
(University of Bari, Italy and INFN Italy)
Description
We show that for any finite-dimensional quantum systems the conserved quantities can be characterized by their robustness to small perturbations: for fragile symmetries, small perturbations can lead to large deviations over long times, while for robust symmetries, their expectation values remain close to their initial values for all times. This is in analogy with the celebrated Kolmogorov-Arnold-Moser theorem in classical mechanics.
Primary author
Paolo Facchi
(University of Bari, Italy and INFN Italy)