A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
Mathematical Physics
2024-09-25 v2 Statistical Mechanics
math.MP
Quantum Physics
Abstract
We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice . 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 introduced in [Jak\v{s}i\'c, Pillet, Tauber, arXiv:2204.00440], 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 studied in this previous work.
Cite
@article{arxiv.2204.02177,
title = {A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems},
author = {Vojkan Jakšić and Claude-Alain Pillet and Clément Tauber},
journal= {arXiv preprint arXiv:2204.02177},
year = {2024}
}