Post-Quench Evolution of Complexity and Entanglement in a Topological System
High Energy Physics - Theory
2020-11-13 v2 Statistical Mechanics
Strongly Correlated Electrons
Quantum Physics
Abstract
We investigate the evolution of complexity and entanglement following a quench in a one-dimensional topological system, namely the Su-Schrieffer-Heeger model. We demonstrate that complexity can detect quantum phase transitions and shows signatures of revivals; this observation provides a practical advantage in information processing. We also show that the complexity saturates much faster than the entanglement entropy in this system, and we provide a physical argument for this. Finally, we demonstrate that complexity is a less sensitive probe of topological order, compared with measures of entanglement.
Keywords
Cite
@article{arxiv.1811.05985,
title = {Post-Quench Evolution of Complexity and Entanglement in a Topological System},
author = {Tibra Ali and Arpan Bhattacharyya and S. Shajidul Haque and Eugene H. Kim and Nathan Moynihan},
journal= {arXiv preprint arXiv:1811.05985},
year = {2020}
}
Comments
24 pages, 6 figures, title and abstract slightly modified, updated version to appear in Physics Letters B