Howell Owen, Weinberg Phillip, Sels Dries, Polkovnikov Anatoli, Bukov Marin
Department of Physics, Boston University, 590 Commonwealth Ave., Boston, Massachusetts 02215, USA.
Department of Physics, Harvard University, 17 Oxford st., Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2019 Jan 11;122(1):010602. doi: 10.1103/PhysRevLett.122.010602.
We reveal a continuous dynamical heating transition between a prethermal and an infinite-temperature stage in a clean, chaotic periodically driven classical spin chain. The transition time is a steep exponential function of the drive frequency, showing that the exponentially long-lived prethermal plateau, originally observed in quantum Floquet systems, survives the classical limit. Even though there is no straightforward generalization of Floquet's theorem to nonlinear systems, we present strong evidence that the prethermal physics is well described by the inverse-frequency expansion. We relate the stability and robustness of the prethermal plateau to drive-induced synchronization not captured by the expansion. Our results set the pathway to transfer the ideas of Floquet engineering to classical many-body systems, and are directly relevant for photonic crystals and cold atom experiments in the superfluid regime.
我们揭示了在一个干净的、混沌的周期性驱动经典自旋链中，预热阶段和无限温度阶段之间的连续动态加热转变。转变时间是驱动频率的陡峭指数函数，这表明最初在量子弗洛凯系统中观察到的指数寿命长的预热平台在经典极限下仍然存在。尽管弗洛凯定理不能直接推广到非线性系统，但我们提供了强有力的证据表明，预热物理可以通过逆频率展开得到很好的描述。我们将预热平台的稳定性和鲁棒性与展开未捕捉到的驱动诱导同步联系起来。我们的结果为将弗洛凯工程的思想转移到经典多体系统开辟了道路，并且与超流态下的光子晶体和冷原子实验直接相关。
