Edge States in Dynamical Superlattices,ACS Photonics

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Edge States in Dynamical Superlattices
ACS Photonics ( IF 6.5 ) Pub Date : 2017-08-29 00:00:00 , DOI: 10.1021/acsphotonics.7b00448
Yiqi Zhang , Yaroslav V. Kartashov _{1,

2,

3} , Feng Li , Zhaoyang Zhang , Yanpeng Zhang , Milivoj R. Belić ₄ , Min Xiao _{5,

6}

Affiliation

We address edge states and rich localization regimes available in one-dimensional dynamically modulated superlattices, both theoretically and numerically. In contrast to conventional lattices with straight waveguides, not only is the quasi-energy band of an infinite modulated superlattice periodic in the transverse Bloch momentum, but it also changes periodically with an increase in the coupling strength between waveguides. Due to the collapse of quasi-energy bands, dynamical superlattices admit a known dynamical localization effect. If, however, such a lattice is truncated, periodic longitudinal modulation leads to the appearance of specific edge states that exist within certain periodically spaced intervals of coupling constants. We discuss unusual transport properties of such truncated superlattices and illustrate different excitation regimes and enhanced robustness of edge states in them that are associated with the topology of the quasi-energy band.

中文翻译：

动力学超晶格中的边缘状态

我们从理论上和数值上都解决了一维动态调制超晶格中可用的边缘状态和丰富的局域化问题。与具有直波导的常规晶格相比，无限调制超晶格的准能带在横向布洛赫动量中呈周期性变化，而且随着波导之间耦合强度的增加而周期性变化。由于准能带的崩溃，动力学超晶格承认了一种已知的动力学局部效应。但是，如果这种晶格被截断，则周期性的纵向调制会导致出现特定的边沿状态，这些边沿状态存在于耦合常数的某些周期性间隔的区间内。

更新日期：2017-08-29

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