Edge states in dynamical superlattices

Yiqi Zhang, Yaroslav V. Kartashov, Young Feng Li, Zhaoyang Zhang, Yanpeng Zhang, Milivoj R. Belić, Min Xiao

Research output: Contribution to journalArticlepeer-review

22 Citations (SciVal)


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.

Original languageEnglish
Pages (from-to)2250-2256
Number of pages7
Issue number9
Publication statusPublished - 20 Sept 2017


  • Dynamical superlattice
  • Edge states
  • Floquet evolution operator
  • Localization
  • Quasi-energy
  • Transport property

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biotechnology
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering


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