Fermi's golden rule for heating in strongly driven Floquet systems
Fermi's golden rule for heating in strongly driven Floquet systems
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DOI：
10.1103/physrevb.104.134308
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发表时间：
2021-10-15
影响因子：
3.7
通讯作者：
Polkovnikov, Anatoli
中科院分区：
文献类型：
--
作者：
Ikeda, Tatsuhiko N.;Polkovnikov, Anatoli
我们研究以高频和大幅度周期性驱动的孤立量子多体系统中的热动力学。将 Floquet 哈密顿量的高频展开与费米黄金法则 (FGR) 相结合，我们开发了一个名为 Floquet FGR 的主方程。与传统的不同，Floquet FGR 正确地描述了加热动态，包括预热化状态，即使对于强驱动也是如此，在这种情况下 Floquet 哈密顿量显着修饰，并且存在非平凡的 Floquet 工程。 Floquet FGR 对系统尺寸的依赖性很弱，使我们能够通过小系统计算来分析热力学极限。我们的结果还表明，在加热过程中，系统大约保持在 Floquet Hamiltonian 的热状态，温度逐渐升高。
We study heating dynamics in isolated quantum many-body systems driven periodically at high frequency and large amplitude. Combining the high-frequency expansion for the Floquet Hamiltonian with Fermi's golden rule (FGR), we develop a master equation termed the Floquet FGR. Unlike the conventional one, the Floquet FGR correctly describes heating dynamics, including the prethermalization regime, even for strong drives, under which the Floquet Hamiltonian is significantly dressed, and nontrivial Floquet engineering is present. The Floquet FGR depends on system size only weakly, enabling us to analyze the thermodynamic limit with small-system calculations. Our results also indicate that, during heating, the system approximately stays in the thermal state for the Floquet Hamiltonian with a gradually rising temperature.