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math-ph2022
A note on adiabatic time evolution and quasi-static processes in translation-invariant quantum systems
Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber
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…
math-ph2022
Approach to equilibrium in translation-invariant quantum systems: some structural results
Vojkan Jakšić, Claude-Alain Pillet, Clément Tauber
We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth…
math-ph2022★ 7 cited
Markovian Repeated Interaction Quantum Systems
Jean-François Bougron, Alain Joye, Claude-Alain Pillet
We study a class of dynamical semigroups that emerge, by a Feynman--Kac type formalism, from a random quantum dynamical system $(\mathcal{L}_{ω_n}…