Vorträge in der Woche 20.02.2023 bis 26.02.2023

Freitag, 24.02.2023: Algebra and geometry for quantum interaction models

Masato Wakayama (NTT-labs, Tokyo)

We focus spectral structure of the quantum Rabi model (QRM) and its asymmetric version (AQRM), which are widely studied as most fundamental models of light-matter interactions, and their covering model. The latter model is called non-commutative harmonic oscillator (NCHO) and has rich but mysterious arithmetic properties. Certain algebraic and geometric problems/conjectures arose from the study of the degeneracy of the spectrum and hidden symmetry for AQRM will be presented.