This research aims to explore the geometric and spectral properties of quantum Markov semigroups on lie groups using curvature-dimension criteria and optimal transport.
Application of curvature-dimension criteria to analyze quantum markov semigroups.
Utilization of optimal transport frameworks to assess spectral properties.
Examination of the thermodynamic limit in the context of the studied semigroups.
Establishment of linkages between geometric properties and transport effects within quantum markov semigroups.
Identification of optimal transport structures in the thermodynamic limit.
Demonstration of implications for physical systems modeled by these semigroups.
Abstract
Curvature-Dimension Criteria, Optimal Transport, and the Thermodynamic Limit