Martedì 15 Aprile 2025, ore 14:30.

Aula Seminari III Piano, Dipartimento di Matematica, Politecnico di Milano.

Speaker: Lorenzo Bertini, Università di Roma La Sapienza.

Title: Dissipative quantum lattice systems.

We analyze a class of quantum Feller semigroups describing the
evolution of interacting quantum lattice systems.
By regarding the interacting evolution as a perturbation of a
non-interacting dissipative dynamics, we obtain a quantitative
criterion that yields the uniqueness of the stationary state together
with the exponential convergence of local observables.
The analysis is based on suitable a priori bounds on the resolvent
equation which yield quantitive estimates on the evolution of local
observables.

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