Optimal bounds on the speed of subspace evolution
Abstract
By a quantum speed limit one usually understands an estimate on how fast a quantum system can evolve between two distinguishable states. The most known quantum speed limit is given in the form of the celebrated Mandelstam-Tamm inequality that bounds the speed of the evolution of a state in terms of its energy dispersion. In contrast to the basic Mandelstam-Tamm inequality, we are concerned not with a single state but with a (possibly infinite-dimensional) subspace which is subject to the Schroedinger evolution. By using the concept of maximal angle between subspaces we derive optimal bounds on the speed of such a subspace evolution. These bounds may be viewed as further generalizations of the Mandelstam-Tamm inequality. Our study includes the case of unbounded Hamiltonians.
Cite
@article{arxiv.2111.05677,
title = {Optimal bounds on the speed of subspace evolution},
author = {Sergio Albeverio and Alexander K. Motovilov},
journal= {arXiv preprint arXiv:2111.05677},
year = {2022}
}
Comments
15 pages