Dynamical control of quantum systems in the context of mean ergodic theorems
Quantum Physics
2017-01-12 v2 Mathematical Physics
math.MP
Abstract
Equidistant and non-equidistant single pulse "bang-bang" dynamical controls are investigated in the context of mean ergodic theorems. We show the requirements in which the limit of infinite pulse control for both the equidistant and the non-equidistant dynamical control converges to the same unitary evolution. It is demonstrated that the generator of this evolution can be obtained by projecting the generator of the free evolution onto the commutant of the unitary operator representing the pulse. Inequalities are derived to prove this statement and in the case of non-equidistant approach these inequalities are optimised as a function of the time intervals.
Keywords
Cite
@article{arxiv.1603.07287,
title = {Dynamical control of quantum systems in the context of mean ergodic theorems},
author = {J. Z. Bernád},
journal= {arXiv preprint arXiv:1603.07287},
year = {2017}
}
Comments
25 pages