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Abanin, Dmitry A.; De Roeck, Wojciech; Ho, Wen Wei; Huveneers, François
Physical review. B, 01/2017, Letnik: 95, Številka: 1Journal Article
We establish some general dynamical properties of quantum many-body systems that are subject to a high-frequency periodic driving. We prove that such systems have a quasiconserved extensive quantity H*, which plays the role of an effective static Hamiltonian. The dynamics of the system (e.g., evolution of any local observable) is well approximated by the evolution with the Hamiltonian H* up to time τ*, which is exponentially large in the driving frequency. We further show that the energy absorption rate is exponentially small in the driving frequency. In cases where H* is ergodic, the driven system prethermalizes to a thermal state described by H* at intermediate times t≲τ*, eventually heating up to an infinite-temperature state after times t∼τ*. Our results indicate that rapidly driven many-body systems generically exhibit prethermalization and very slow heating. We briefly discuss implications for experiments which realize topological states by periodic driving.
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