8 citations · 14 across the 5 of their papers we have counts for
5 papers
Application of the theory of C*-algebras to the emergence of hydrodynamics in quantum many-body systems
Dimitrios Ampelogiannis
This Ph.D. thesis reports on progress in rigorously establishing hydrodynamic principles from the microscopic Hamiltonian dynamics of quantum many-body systems in a general, non-mo…
Rigorous bound on hydrodynamic diffusion for chaotic open spin chains
Dimitrios Ampelogiannis, Benjamin Doyon
The emergence of diffusion is one of the deepest physical phenomena observed in many-body interacting, chaotic systems. But establishing rigorously that correlation functions, say…
Clustering of higher order connected correlations in C dynamical systems
Dimitrios Ampelogiannis, Benjamin Doyon
In the context of dynamical systems, we consider a locally compact group acting by -automorphisms on a C algebra of observables, and assume a state…
Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths
Dimitrios Ampelogiannis, Benjamin Doyon
Obtaining rigorous and general results about the non-equilibrium dynamics of extended many-body systems is a difficult task. In quantum lattice models with short-range interactions…
Almost everywhere ergodicity in quantum lattice models
Dimitrios Ampelogiannis, Benjamin Doyon
We rigorously examine the ergodic properties of quantum lattice models with short range interactions, in the C* algebra formulation of statistical mechanics. Ergodicity results, in…