Time periodicity from randomness in quantum systems
Abstract
Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the vibration of a cello string. While self-oscillation is well understood in classical non-linear systems and their quantized counterparts, the spontaneous emergence of periodicity in quantum systems without a semi-classical limit is more elusive. Here, we show that this behavior can emerge within the repeated-interaction description of open quantum systems. Specifically, we consider a many-body quantum system that undergoes dissipation due to sequential coupling with auxiliary systems at random times. We develop dynamical symmetry conditions that guarantee an oscillatory long-time state in this setting. Our rigorous results are illustrated with specific spin models, which could be implemented in trapped-ion quantum simulators.
Cite
@article{arxiv.2104.13402,
title = {Time periodicity from randomness in quantum systems},
author = {Giacomo Guarnieri and Mark T. Mitchison and Archak Purkayastha and Dieter Jaksch and Berislav Buča and John Goold},
journal= {arXiv preprint arXiv:2104.13402},
year = {2022}
}
Comments
5+5 pages; 3 figures