Classification of gapped Hamiltonians in quantum spin chains

Ogata, Yoshiko

doi:10.2969/aspm/08010179

VOL. 80 | 2019 Classification of gapped Hamiltonians in quantum spin chains

Yoshiko Ogata

Editor(s) Masaki Izumi, Yasuyuki Kawahigashi, Motoko Kotani, Hiroki Matui, Narutaka Ozawa

Adv. Stud. Pure Math., 2019: 179-188 (2019) DOI: 10.2969/aspm/08010179

Abstract

Recently, the classification problem of gapped Hamiltonians attracts a lot of attentions. We consider this problem for a class of Hamiltonians on quantum spin chains. We review the motivation of the problem and the background, and explain our recent result, about bulk-classification of frustration-free Hamiltonians.