228 citations · 724 across the 35 of their papers we have counts for
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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…
A derivation of braided -tensor categories from gapped ground states satisfying the approximate Haag duality
Yoshiko Ogata
We derive braided -tensor categories from gapped ground states on two-dimensional quantum spin systems satisfying some additional condition which we call the approximate Haag…
The split and approximate split property in 2D systems: stability and absence of superselection sectors
Pieter Naaijkens, Yoshiko Ogata
The split property of a pure state for a certain cut of a quantum spin system can be understood as the entanglement between the two subsystems being weak. From this point of view,…
A -valued index of symmetry protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems
Yoshiko Ogata
We consider SPT-phases with on-site finite group symmetry for two-dimensional quantum spin systems. We show that they have -valued invariant.