Classification of symmetry protected topological phases in quantum spin chains
Mathematical Physics
2021-10-12 v1 Strongly Correlated Electrons
math.MP
Abstract
We consider the classification problem of symmetry protected topological (SPT) phases on quantum spin systems. SPT phases are gapped short-range-entangled quantum phases with a symmetry . We explain that in one and two-dimensional quantum spin systems, there are / -valued invariant, confirming a physicists conjecture.
Keywords
Cite
@article{arxiv.2110.04671,
title = {Classification of symmetry protected topological phases in quantum spin chains},
author = {Yoshiko Ogata},
journal= {arXiv preprint arXiv:2110.04671},
year = {2021}
}
Comments
Submitted to the proceedings of Current Developments in Mathematics