5 papers
A note on invariants of mixed-state topological order in 2D
Yoshiko Ogata
The classification of mixed-state topological order requires indices that behave monotonically under finite-depth quantum channels. In two dimensions, a braided -tensor catego…
Haag Duality for 2D Quantum Spin Systems
Yoshiko Ogata, David Pérez-García, Alberto Ruiz-de-Alarcón
Haag duality is a fundamental locality property introduced in the pioneering formulation of algebraic quantum field theory by Haag and Kastler in the 1960s. Since then, it has play…
Mixed state topological order: operator algebraic approach
Yoshiko Ogata
We study the classification problem of mixed states in two-dimensional quantum spin systems in the operator algebraic framework of quantum statistical mechanics. We associate a bra…
Anyonic symmetry fractionalization in SET phases
Jose Garre Rubio, Yoshiko Ogata
We consider the anyonic spin systems with a global symmetry, the so-called symmetry enriched topological (SET) phases. We introduce the phase characterizing the symmetry fractional…
Classifying symmetric and symmetry-broken spin chain phases with anomalous group actions
Jose Garre Rubio, Andras Molnar, Yoshiko Ogata
We consider the classification problem of quantum spin chains invariant under local decomposable group actions, covering matrix product unitaries (MPUs), using an operator algebrai…