Y. Ogata

activity

20022023

most citedPropagation of Correlations in Quantum Lattice Systems

228 citations · 724 across the 35 of their papers we have counts for

collaborators

Showing 2018 · math-phShow all

2 papers · 2 filters

math-ph2018★ 46 cited

A $Z_{2}$ -index of symmetry protected topological phases with time reversal symmetry for quantum spin chains

Yoshiko Ogata

We introduce a $Z_{2}$ -index for time reversal invariant Hamiltonians with unique gapped ground state on quantum spin chains. We show this is an invariant of a $C^{1}$ -classi…

math-ph2018★ 61 cited

Lieb-Schultz-Mattis type theorems for quantum spin chains without continuous symmetry

Yoshiko Ogata, Hal Tasaki

We prove that a quantum spin chain with half-odd-integral spin cannot have a unique ground state with a gap, provided that the interaction is short ranged, translation invariant, a…

A Z2​-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains

Lieb-Schultz-Mattis type theorems for quantum spin chains without continuous symmetry

A $Z_{2}$ -index of symmetry protected topological phases with time reversal symmetry for quantum spin chains