Tracking quantum state evolution by the Berry curvature with a two-level system
Quantum Physics
2021-03-04 v1
Abstract
We investigate two kinds of topological structures (sphere and torus) spanned by the controlled parameters of a driven two-level system's Hamiltonian, and consider the connection between the structures and the system's dynamics. We discuss the Berry curvature obtained through the dynamical response method, show the certain physical and observable manifolds including the gapped region probed by integrating the Berry curvature, and demonstrate the system's state evolution can be tracked and manipulated by extracting the Berry curvature.
Cite
@article{arxiv.2102.00808,
title = {Tracking quantum state evolution by the Berry curvature with a two-level system},
author = {Ze-Lin Zhang and Ping Xu and Zhen-Biao Yang},
journal= {arXiv preprint arXiv:2102.00808},
year = {2021}
}
Comments
10 pages, 5 figures, 1 appendix, accepted for publication in EPJP, Comments welcome