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arXiv · 1507.00991

Stroboscopic prethermalization in weakly interacting periodically driven systems

Elena Canovi·Marcus Kollar·Martin Eckstein
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Abstract

Time-periodic driving provides a promising route to engineer non-trivial states in quantum many-body systems. However, while it has been shown that the dynamics of integrable systems can synchronize with the driving into a non-trivial periodic motion, generic non-integrable systems are expected to heat up until they display a trivial infinite-temperature behavior. In this paper we show that a quasi-periodic time evolution over many periods can also emerge in systems with weak integrability breaking, with a clear separation of the timescales for synchronization and the eventual approach of the infinite-temperature state. This behavior is the analogue of prethermalization in quenched systems. The synchronized state can be described using a macroscopic number of approximate constants of motion. We corroborate these findings with numerical simulations for the driven Hubbard model.

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Elena Canovi, Marcus Kollar, Martin Eckstein. 2016-01-21. Stroboscopic prethermalization in weakly interacting periodically driven systems. https://doi.org/10.1103/physreve.93.012130

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