Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands.
Phys Rev E. 2017 Nov;96(5-1):052105. doi: 10.1103/PhysRevE.96.052105. Epub 2017 Nov 6.
Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving, heating of a system is a real concern. In an effort to better understand this phenomenon, the heating of single-band systems has been studied, with a focus on disorder- and interaction-induced effects, such as many-body localization. Nevertheless, driven systems occur in a much wider context than this, leaving room for further research. Here, we fill this gap by studying a noninteracting model, characterized by discrete, periodically spaced energy levels that are unbounded from above. We couple these energy levels resonantly through a periodic drive, and discuss the heating dynamics of this system as a function of the driving protocol. In this way, we show that a combination of stimulated emission and absorption causes the presence of resonant stable states. This will serve to elucidate the conditions under which resonant driving causes heating in quantum systems.
周期性驱动系统是现代物理学中的一个常见话题。特别是在光晶格中，驱动是许多有趣现象的起源。然而，在驱动系统中能量不守恒，在周期性驱动下，系统的加热是一个真正令人关注的问题。为了更好地理解这一现象，已经研究了单能带系统的加热，重点关注了无序和相互作用引起的效应，如多体局域化。然而，驱动系统出现在比这更广泛的背景下，为进一步的研究留下了空间。在这里，我们通过研究一个非相互作用的模型来填补这一空白，该模型的特点是离散的、周期性间隔的能级，没有上限。我们通过周期性驱动使这些能级共振耦合，并讨论了这个系统的加热动力学作为驱动方案的函数。通过这种方式，我们表明受激发射和吸收的组合导致了共振稳定态的存在。这将有助于阐明共振驱动导致量子系统加热的条件。
