@article{cbcf0c07548b45739c2a37bbc126a65d,
title = "Floquet Prethermalization in a Bose-Hubbard System",
abstract = "Periodic driving has emerged as a powerful tool in the quest to engineer new and exotic quantum phases. While driven many-body systems are generically expected to absorb energy indefinitely and reach an infinite-temperature state, the rate of heating can be exponentially suppressed when the drive frequency is large compared to the local energy scales of the system - leading to long-lived {"}prethermal{"}regimes. In this work, we experimentally study a bosonic cloud of ultracold atoms in a driven optical lattice and identify such a prethermal regime in the Bose-Hubbard model. By measuring the energy absorption of the cloud as the driving frequency is increased, we observe an exponential-in-frequency reduction of the heating rate persisting over more than 2 orders of magnitude. The tunability of the lattice potentials allows us to explore one- and two-dimensional systems in a range of different interacting regimes. Alongside the exponential decrease, the dependence of the heating rate on the frequency displays features characteristic of the phase diagram of the Bose-Hubbard model, whose understanding is additionally supported by numerical simulations in one dimension. Our results show experimental evidence of the phenomenon of Floquet prethermalization and provide insight into the characterization of heating for driven bosonic systems.",
author = "Antonio Rubio-Abadal and Matteo Ippoliti and Simon Hollerith and David Wei and Jun Rui and Sondhi, {S. L.} and Vedika Khemani and Christian Gross and Immanuel Bloch",
note = "Funding Information: The authors acknowledge useful discussions with Emanuele G. Dalla Torre, Sarah Hirthe, Michael Knap, Roderich Moessner, Marcos Rigol, Nepomuk Ritz, Alexander Schuckert, Dan M. Stamper-Kurn, and David Weld. We also thank Simon Evered and Kritsana Srakaew for careful reading of the manuscript. This work was supported with funding from the Defense Advanced Research Projects Agency (DARPA) via the DRINQS program. The views, opinions, and/or findings expressed are those of the authors and should not be interpreted as representing the official views or policies of the Department of Defense or the U.S. Government. We also acknowledge funding by the Max Planck Society (MPG), the European Union (PASQuanS Grant No. 817482), and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany{\textquoteright}s Excellence Strategy—EXC-2111-390814868. M. I. was funded in part by the Gordon and Betty Moore Foundation{\textquoteright}s EPiQS Initiative through Grants No. GBMF4302 and No. GBMF8686. J. R. acknowledges funding from the Max Planck Harvard Research Center for Quantum Optics. Funding Information: The authors acknowledge useful discussions with Emanuele G. Dalla Torre, Sarah Hirthe, Michael Knap, Roderich Moessner, Marcos Rigol, Nepomuk Ritz, Alexander Schuckert, Dan M. Stamper-Kurn, and David Weld. We also thank Simon Evered and Kritsana Srakaew for careful reading of the manuscript. This work was supported with funding from the Defense Advanced Research Projects Agency (DARPA) via the DRINQS program. The views, opinions, and/or findings expressed are those of the authors and should not be interpreted as representing the official views or policies of the Department of Defense or the U.S. Government. We also acknowledge funding by the Max Planck Society (MPG), the European Union (PASQuanS Grant No.?817482), and the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany?s Excellence Strategy?EXC-2111-390814868. M.I. was funded in part by the Gordon and Betty Moore Foundation?s EPiQS Initiative through Grants No.?GBMF4302 and No.?GBMF8686. J.R. acknowledges funding from the Max Planck Harvard Research Center for Quantum Optics. Publisher Copyright: {\textcopyright} 2020 authors. Published by the American Physical Society.",
year = "2020",
month = jun,
doi = "10.1103/PhysRevX.10.021044",
language = "English (US)",
volume = "10",
journal = "Physical Review X",
issn = "2160-3308",
publisher = "American Physical Society",
number = "2",
}