Exponentially slow heating in short and long-range interacting Floquet systems
Exponentially slow heating in short and long-range interacting Floquet systems
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DOI：
10.1103/physrevresearch.1.033202
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发表时间：
2017-08
影响因子：
4.2
通讯作者：
Francisco Machado;G. Meyer;D. Else;C. Nayak;N. Yao
中科院分区：
文献类型：
--
作者：
Francisco Machado;G. Meyer;D. Else;C. Nayak;N. Yao
我们分析了动力学的驱动（Floquet）哈密顿与短期和长期的相互作用，找到明确的证据热化时间，$\tau^*$，随驱动频率呈指数级增加。我们观察到这种行为，无论是在系统与短程相互作用，我们的结果是一致的严格的界限，并在系统与长程相互作用，这种界限目前不存在。使用加热和纠缠动力学相结合，我们明确地提取有效的能量尺度控制热化的速率。最后，我们证明，时间短于$\tau^*$，系统的动力学是很好的近似演化下的时间无关的哈密顿量$D_{\mathrm{eff}}$，为短期和长期的相互作用系统。
We analyze the dynamics of periodically-driven (Floquet) Hamiltonians with short- and long-range interactions, finding clear evidence for a thermalization time, $\tau^*$, that increases exponentially with the drive frequency. We observe this behavior, both in systems with short-ranged interactions, where our results are consistent with rigorous bounds, and in systems with long-range interactions, where such bounds do not exist at present. Using a combination of heating and entanglement dynamics, we explicitly extract the effective energy scale controlling the rate of thermalization. Finally, we demonstrate that for times shorter than $\tau^*$, the dynamics of the system is well-approximated by evolution under a time-independent Hamiltonian $D_{\mathrm{eff}}$, for both short- and long-range interacting systems.