Floquet prethermalization in the resonantly driven Hubbard model
Floquet prethermalization in the resonantly driven Hubbard model
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DOI：
10.1209/0295-5075/120/57001
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发表时间：
2017-12-01
期刊：
影响因子：
1.8
通讯作者：
Werner, Philipp
中科院分区：
文献类型：
--
作者：
Herrmann, Andreas;Murakami, Yuta;Werner, Philipp
我们证明了在周期电场驱动下的Mott绝缘Hubbard模型中存在长寿命的预热化态。这些状态，这也存在于共振驱动的情况下，具有大密度的光诱导的doublons和holons，其特征在于由一个非零电流和一个有效的温度的doublons和holons，这取决于敏感的驱动条件。聚焦于共振驱动模型的具体情况下，其有效的时间无关的哈密顿量在高频驱动极限对应于非相互作用费米子，我们表明，时间演化的双重占领可以再现的有效哈密顿量，并在有限的驱动频率的预热化高原控制的下一个到领先的阶校正的有效哈密顿量的高频扩展。我们提出了一个数值方法来确定一个有效的哈伯德相互作用，模仿这些高阶项引起的相关效应。版权所有（C）EPLA，2018
We demonstrate the existence of long-lived prethermalized states in the Mott insulating Hubbard model driven by periodic electric fields. These states, which also exist in the resonantly driven case with a large density of photo-induced doublons and holons, are characterized by a nonzero current and an effective temperature of the doublons and holons which depends sensitively on the driving condition. Focusing on the specific case of resonantly driven models whose effective time-independent Hamiltonian in the high-frequency driving limit corresponds to noninteracting fermions, we show that the time evolution of the double occupation can be reproduced by the effective Hamiltonian, and that the prethermalization plateaus at finite driving frequency are controlled by the next-to-leading-order correction in the high-frequency expansion of the effective Hamiltonian. We propose a numerical procedure to determine an effective Hubbard interaction that mimics the correlation effects induced by these higher-order terms. Copyright (C) EPLA, 2018