Entropy of the quantum work distribution
Quantum Physics
2023-05-04 v2
Abstract
The statistics of work done on a quantum system can be quantified by the two-point measurement scheme. We show how the Shannon entropy of the work distribution admits a general upper bound depending on the initial diagonal entropy, and a purely quantum term associated to the relative entropy of coherence. We demonstrate that this approach captures strong signatures of the underlying physics in a diverse range of settings. In particular, we carry out a detailed study of the Aubry-Andr\'e-Harper model and show that the entropy of the work distribution conveys very clearly the physics of the localization transition, which is not apparent from the statistical moments.
Cite
@article{arxiv.2210.07896,
title = {Entropy of the quantum work distribution},
author = {Anthony Kiely and Eoin O'Connor and Thomás Fogarty and Gabriel T. Landi and Steve Campbell},
journal= {arXiv preprint arXiv:2210.07896},
year = {2023}
}
Comments
7 pages, 3 figures. Close to published version