27–30 mai 2024
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

Adiabatic Time Evolution and Quasi-Static Processes in Translation-Invariant Quantum Systems

30 mai 2024, 10:00
55m
Amphithéatre Schwartz (Institut de Mathématiques de Toulouse)

Amphithéatre Schwartz

Institut de Mathématiques de Toulouse

Université Paul Sabatier 118, route de Narbonne - Bat. 1R3 31062 Toulouse Cedex 9

Orateur

Claude-Alain Pillet (CPT, Toulon)

Description

We study the slowly varying, non-autonomous dynamics of a translation-invariant quantum spin system on the lattice Z^d . This system is assumed to be initially in thermal equilibrium, and we consider realizations of quasi-static processes in the adiabatic limit. By combining the Gibbs variational principle with the notion of quantum weak Gibbs states, we establish a number of general structural results regarding such realizations. In particular, we show that such a quasi-static process is incompatible with the property of approach to equilibrium.
This is a joint work with V. Jaksic and C. Tauber.

Documents de présentation

Aucun document.