Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect
Statistical Mechanics
2018-08-07 v3 Quantum Physics
Abstract
We investigate numerically and analytically the heating process in ergodic clusters of interacting spins 1/2 subjected to periodic pulses of external magnetic field. Our findings indicate that there is a threshold for the pulse strength below which the heating is suppressed. This threshold decreases with the increase of the cluster size, approaching zero in the thermodynamic limit; yet it should be observable in clusters with fairly large Hilbert spaces. We obtain the above threshold quantitatively as a condition for the breakdown of the golden rule in the second-order perturbation theory. It is caused by the phenomenon of dynamic localization.
Keywords
Cite
@article{arxiv.1712.10028,
title = {Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect},
author = {Kai Ji and Boris V. Fine},
journal= {arXiv preprint arXiv:1712.10028},
year = {2018}
}
Comments
Final version; Main article: 5 pages, 4 figures; Supplement: 3 pages, 2 figures