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arXiv · 2204.02177

A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems

Vojkan Jakšić·Claude-Alain Pillet·Clément Tauber
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Abstract

We study the slowly varying, non-autonomous quantum dynamics of a translation invariant spin or fermion system on the lattice $\mathbb Z^d$. 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 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.

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Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber. 2022-04-05. A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems. https://doi.org/0.1007/s00023-023-01282-5

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