OGATA Yoshiko


緒方 芳子おがた よしこ
OGATA Yoshiko

Title Professor
Affiliation Graduate School of Mathematical Sciences, Department of Mathematics (UG), Graduate School of Mathematical Science
Room Graduate School of Mathematical Sciences Bldg. Komaba Campus


Research Field

Quantum statistical mechanics

Research Subject

Quantum non-equilibrium statistical physics, Asymptotic behavior of quantum spin systems, Classification of gapped ground states

Current Research

My research field is quantum statistical mechanics.
Using operator algebra theory, I have been working on quantum non-equilibrium statistical physics, asymptotic behavior of quantum spin systems, and classification problem of gapped ground states. About nonequilibrium systems, I mainly worked on a state called NESS(Nonequilibrium steady state), showing Green-Kubo formula, etc.
Asymptotic behavior of quantum spin systems is another topic I like a lot, and I have been working on the large deviation principle, and also showed that macroscopic observables can be approximated by commuting matrices in the norm topology.
Recently, I started to work on the classification problem of gapped ground states. This is a project to classify all the gapped phases in the essential way, and I find it very interesting and important.

Keywords

Quantum spin systems Nonequilibrium steady state Macroscopic observables

Links