228 citations · 724 across the 35 of their papers we have counts for
28 papers · 1 filter
Boundary states of a bulk gapped ground state in -d quantum spin systems
Yoshiko Ogata
We introduce a natural mathematical definition of boundary states of a bulk gapped ground state, in the operator algebraic framework of -d quantum spin systems. With approximate…
2-d Fermionic SPT with CRT symmetry
Yoshiko Ogata
An invariant of SPT-phases with on-site finite group symmetry for two-dimensional Fermion systems was derived in [O]. This invariant is doubled compared to the conjectured one…
Type of local von Neumann algebras in abelian quantum double model
Yoshiko Ogata
We show that the local von Neumann algebras on convex areas of the frustration-free ground state of abelian quantum double models are of type .
Classification of gapped ground state phases in quantum spin systems
Yoshiko Ogata
Recently, classification problems of gapped ground state phases attract a lot of attention in quantum statistical mechanics. We explain about our operator algebraic approach to the…
An invariant of symmetry protected topological phases with on-site finite group symmetry for two-dimensional Fermion systems
Yoshiko Ogata
We consider SPT-phases with on-site finite group symmetry for two-dimensional Fermion systems.We derive an invariant of the classification.
Classification of symmetry protected topological phases in quantum spin chains
Yoshiko Ogata
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 sym…