On unitary time evolution out of equilibrium

Abstract

We consider $d$-dimensional quantum systems which for positive times evolve with a time-independent Hamiltonian in a nonequilibrium state that we keep generic in order to account for arbitrary evolution at negative times. We show how the one-point functions of local operators depend on the coefficients of the expansion of the nonequilibrium state on the basis of energy eigenstates. We express in this way the asymptotic offset and show under which conditions oscillations around this value stay undamped at large times. We also show how, in the case of small quenches, the structure of the general results simplifies and reproduces that known perturbatively.

arXiv commentPublished version

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Cited by in corpus (3)

• Magnetization oscillations in a periodically driven transverse field Ising chain
• Berry connection and quantum geometry in time-dependent systems with instantaneous quantum integrable field theory
• Quantum quenches with long range interactions