ProjectMarkovian Dynamics in Many-Body Quantum Systems

Basic data

Markovian Dynamics in Many-Body Quantum Systems
01/01/2023 to 31/12/2026
Abstract / short description:
The interplay between static and dynamical properties of classical lattice spin systems is by now largely understood. For example, the equivalence between decay of correlations of a Gibbs state and the rapid convergence of its corresponding Glauber dynamics has been established in high generality on mathematical grounds. However, the quantum counterpart of the theory remains largely unexplored. The long-term goal of the proposed project is to gain a better mathematical understanding of intrinsically quantum properties of local dissipative evolutions over generic spin many-body quantum systems. We will focus on four main properties of such systems, namely locality of interactions, decay of correlations, rapid mixing and Markovianity.
Quantum Markov Semigroups
Thermal evolutions
Gibbs states
Functional inequalities

Involved staff


Department of Mathematics
Faculty of Science

Local organizational units

Department of Mathematics
Faculty of Science
University of Tübingen


Bonn, Nordrhein-Westfalen, Germany

will be deleted permanently. This cannot be undone.