Geometric and Spectral Functional Analysis of Quantum Markov Semigroups on Lie Groups (Clean)

Key Points

• Develop a geometric and functional-analytic theory for symmetric depolarising quantum Markov semigroups.
• Focused on symmetric depolarising quantum Markov semigroups on matrix spaces.
• Explored weakly interacting many-body systems and their infinite-volume extensions.
• Investigated boundary-driven quantum systems in this context.
• Established a functional-analytic framework applicable to quantum Markov semigroups.
• Showed potential for new insights in many-body and boundary-driven scenarios.

Abstract