Emergent scale and anomalous dynamics in certain quasi-periodic systems
Disordered Systems and Neural Networks
2023-03-01 v1 Other Condensed Matter
Quantum Gases
Chaotic Dynamics
Abstract
We study localisation transition in a class of quasi-periodic systems that has two competing periodic scales. We show that such class of systems show a re-entrant localisation transition where the energy scale of transition is set by the periodicities of these two scales. Furthermore we show dynamical properties in these systems, exhibits various kinds critical dynamics including sub-diffusive, super-diffusive and diffusive spread of an initially localised wave-packet. Finally we show that these characteristics of quasi-periodic systems with two periodic scales can be realised within the regime of current experiments.
Keywords
Cite
@article{arxiv.2302.14053,
title = {Emergent scale and anomalous dynamics in certain quasi-periodic systems},
author = {Parvathy S Nair and Dintomon Joy and Sambuddha Sanyal},
journal= {arXiv preprint arXiv:2302.14053},
year = {2023}
}
Comments
5 pages, 5 figures in the main text, 3 pages, 6 figures in the supplementary material