We propose a protocol using a tunable Xmon qubit chain to construct generalized Su-Schrieffer-Heeger (SSH) models that support various topological phases. We study the time evolution of a single-excitation quantum state in a SSH-type qubit chain and find that such dynamics is linked to topological winding number. We also investigate the adiabatic transfer of a single-excitation quantum state in a generalized SSH-type qubit chain and show that this process can be connected with topological Chern number and be used to generate a novel entanglement-dependent topological pumping. All results have been demonstrated to be robust against qubit coupling imperfections and can be observed in a short Xmon qubit chain. Our study provides a simple method to directly measure topological invariants rooted in momentum space using quantum dynamics in real space.
@article{arxiv.1901.03220,
title = {Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains},
author = {Feng Mei and Gang Chen and Lin Tian and Shi-Liang Zhu and Suotang Jia},
journal= {arXiv preprint arXiv:1901.03220},
year = {2019}
}
Comments
7 pages, 3 figures. arXiv admin note: text overlap with arXiv:1711.07751