Equilibration on average in quantum processes with finite temporal resolution
Abstract
We characterize the conditions under which a multi-time quantum process with a finite temporal resolution can be approximately described by an equilibrium one. By providing a generalization of the notion of equilibration on average, where a system remains closed to a fixed equilibrium for most times, to one which can be operationally assessed at multiple times, we place an upper-bound on a new observable distinguishability measure comparing a multi-time process with a finite temporal resolution against a fixed equilibrium one. While the same conditions on single-time equilibration, such as a large occupation of energy levels in the initial state remain necessary, we obtain genuine multi-time contributions depending on the temporal resolution of the process and the amount of disturbance of the observer's operations on it.
Cite
@article{arxiv.1905.08469,
title = {Equilibration on average in quantum processes with finite temporal resolution},
author = {Pedro Figueroa-Romero and Kavan Modi and Felix A. Pollock},
journal= {arXiv preprint arXiv:1905.08469},
year = {2020}
}
Comments
6+5 pages, 3 figures. Substantial changes and improvements. Published version