Towards experimental tests and applications of Lieb-Robinson bounds
Abstract
Spin-polarized scanning tunneling microscopy is identified as a suitable experimental technique to investigate the quantitative quality of Lieb-Robinson bounds on the signal velocity. The latest, most general bound is simplified and it is shown that there is a discrepancy by a factor of approximately 4 between the corresponding limit speed and some estimated exact velocities in atomic spin chains. The observed discrepancy facilitates conclusions for a further mathematical improvement of Lieb-Robinson bounds. The real signal propagation can be modified with several experimental parameters from which the bounds are independent. This enables the application of Lieb-Robinson bounds as upper limits on the enhancement of the real signal speed for information transport in spintronic devices.
Keywords
Cite
@article{arxiv.1308.2882,
title = {Towards experimental tests and applications of Lieb-Robinson bounds},
author = {Kolja Them},
journal= {arXiv preprint arXiv:1308.2882},
year = {2014}
}