标题： 高频率周期驱动下各向同性XY链中的杂质 显示英文标题

标题： Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain

摘要： 我们研究了在单个位点上施加横向磁场的各向同性XY链，并分析了当周期性扰动驱动杂质时，系统时间依赖状态的长时间行为。 我们发现对于高频情况，状态会趋近于与强迫同步的周期轨道，并提供了收敛到渐近行为的显式速率。 显示英文摘要

摘要： We study the isotropic XY chain with a transverse magnetic field acting on a single site and analyse the long time behaviour of the time-dependent state of the system when a periodic perturbation drives the impurity. We find that for high frequencies the state approaches a periodic orbit synchronised with the forcing and provide the explicit rate of convergence to the asymptotics.