有界光锥与非平衡态下鲁棒的拓扑序
量子物理
2025-02-12 v4
摘要
拓扑有序带隙哈密顿量的基态简并性是自纠错量子存储的基石,但遗憾的是,即使零温下,其在非平衡态也不稳定。这一缺陷排除了实用的鲁棒自纠错,因为零温稳定性是有限温度鲁棒性的先决条件。本工作中,我们表明有界光锥的出现使幺正时间演化成为一种准绝热延拓,从而保持拓扑序,且初始基态空间作为量子码始终保留其宏观距离。我们还展示了在Kitaev环面码与蜂窝模型中如何通过适当扰动产生有界光锥。我们的结果表明,拓扑序与自纠错量子存储在零温下可具有动力学鲁棒性。
引用
@article{arxiv.2208.13839,
title = {Bounded light cone and robust topological order out of equilibrium},
author = {Yu Zeng and Alioscia Hamma and Yu-Ran Zhang and Jun-Peng Cao and Heng Fan and Wu-Ming Liu},
journal= {arXiv preprint arXiv:2208.13839},
year = {2025}
}
备注
7+5 pages, 4+3 figures. the Supplemental Material is updated. In version 4, we show the emergence of a bounded light cone in the disordered Kitaev's honeycomb model