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

Abstract: 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 as discussed by V. Jaksic in his talk on March 22, 2022.

This is a joint work with V. Jaksic and C. Tauber

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

Series comments: In order to receive announcements, please send an email to IAMPseminars@gmail.com with “subscribe” in the subject line.