论文标题
定期驱动的多体系统远离高频极限
Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
论文作者
论文摘要
我们研究了一类定期驱动的多体系统，这使我们能够将细能层的现象扩展到远离高频极限的孤立中间到低驱动频率的附近。我们提供了形成参数长寿命的prethermal高原的数值证据，该高原由使用复制品逆频率扩展计算的有效浮力汉密尔顿捕获，并证明其稳定性W.R.T.〜驱动周期中的随机扰动。考虑到完全不可整合的浮雕哈密顿量，我们发现供暖率是非宇宙的：我们观察到费米的黄金规则缩放，与黄金规则不一致的幂律缩放和非力量法律相规，取决于驱动器。尽管逆频率扩展具有渐近特征，但我们表明它沿演化一直描述了状态的恒温性能，直到无限温度，高阶项提高了精度。我们的结果提出了一种动力学机制，可以逐渐增加孤立的量子模拟器（例如Ultracold Atoms）的温度，并为使用Floquet Driver提供了研究热相变和量子关键性之间的相互作用的替代可能性。
We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide numerical evidence for the formation of a parametrically long-lived prethermal plateau, captured by an effective Floquet Hamiltonian computed using the replica inverse-frequency expansion, and demonstrate its stability w.r.t.~random perturbations in the drive period. Considering exclusively nonintegrable Floquet Hamiltonians, we find that heating rates are non-universal: we observe Fermi's Golden Rule scaling, power-law scaling inconsistent with the Golden Rule, and non-power law scaling, depending on the drive. Despite the asymptotic character of the inverse-frequency expansion, we show that it describes the thermostatic properties of the state all along the evolution up to infinite temperature, with higher-order terms improving the accuracy. Our results suggest a dynamical mechanism to gradually increase temperature in isolated quantum simulators, such as ultracold atoms, and open up an alternative possibility to investigate thermal phase transitions and the interplay between thermal and quantum criticality using Floquet drives.
