Optical Bloch oscillation and Zener tunneling in the fractional Schrdinger equation. Academic Article uri icon

abstract

  • We demonstrate optical Bloch oscillation (OBO) and optical Zener tunneling (OZT) in the fractional Schrdinger equation (FSE) with periodic and linear potentials, numerically and theoretically. We investigate in parallel the regular Schrdinger equation and the FSE, by adjusting the Lvy index, and expound the differences between the two. We find that the spreading of the OBO decreases in the fractional case, due to the diminishing band width. Increasing the transverse force, due to the linear potential, leads to the appearance of OZT, but this process is suppressed in the FSE. Our results indicate that the adjustment of the Lvy index can effectively control the emergence of OBO and OZT, which can inspire new ideas in the design of optical switches and interconnects.

published proceedings

  • Sci Rep

author list (cited authors)

  • Zhang, Y., Wang, R., Zhong, H., Zhang, J., Beli, M. R., & Zhang, Y.

citation count

  • 31

complete list of authors

  • Zhang, Yiqi||Wang, Rong||Zhong, Hua||Zhang, Jingwen||Belić, Milivoj R||Zhang, Yanpeng

publication date

  • December 2017