Optimal bounds on the speed of the Schrödinger evolution of subspaces


Bogoliubov Laboratory of Theoretical Physics

Seminar on Nuclear Theory

Date and Time: Monday, 28 November 2022, at 3:30 PM

Venue: Blokhintsev lecture hall, Bogoliubov Laboratory of Theoretical Physics, online on Zoom

Seminar topic: “Optimal bounds on the speed of the Schrödinger evolution of subspaces”

Speaker: A. K. Motovilov


By a quantum speed limit one usually calls a lower bound on the time that is needed for a quantum system to evolve from a given state to a target state.The most known quantum speed limit is given in the form of the celebrated Mandelstam-Tamm inequality that bounds the minimal passage time of a state in terms of its energy dispersion. In contrast to the classic Mandelstam-Tamm inequality, we are concerned not with a single state but with a (possibly infnitedimensional) subspace which is subject to the Schröodinger evolution. By using the concept of maximal angle between subspaces we establish optimal bounds on the speed of such a subspace evolution. Our present study includes the case of unbounded Hamiltonians.

This presentation is based on joint works with S.Albeverio.