局域哈密顿量中不稳定简并的简单机制
量子物理
2025-10-31 v2
摘要
如果局域哈密顿量的一个本征态通过与哈密顿量项对易的局域算符被映射到另一个态，则后者也是本征态。这一基本观察意味着，既成为唯一基态又拥有受局域微扰保护的简并是不可行的，从而给出了一个不可行性结果。
引用
@article{arxiv.2506.03228,
title = {A simple mechanism for unstable degeneracies in local Hamiltonians},
author = {Jose Garre Rubio},
journal= {arXiv preprint arXiv:2506.03228},
year = {2025}
}
备注
1 page, 0 figures. Was this known or written somewhere? Comments are welcome. v2: Improved explanation and proof of instability corrected