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arXiv:1510.05872 · Annals of Physics

Modulation of the photonic band structure topology of a honeycomb lattice in an atomic vapor

Yiqi Zhang, Xing Liu, Milivoj R. Belić, Zhenkun Wu, Yanpeng Zhang

Published Sep 25, 2015• 6 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2015.09.017

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The feasibility of realizing a photonic Floquet topological insulator (PFTI) in an atomic ensemble is demonstrated. The interference of three coupling fields will split energy levels periodically, to form a periodic refractive index structure with honeycomb profile that can be adjusted by different frequency detunings and intensities of the coupling fields. This in turn will affect the appearance of Dirac cones in momentum space. When the honeycomb lattice sites are helically ordered along the propagation direction, gaps open at Dirac points, and one obtains a PFTI in an atomic vapor. An obliquely incident beam will be able to move along the zigzag edge of the lattice without scattering energy into the PFTI, due to the confinement of edge states. The appearance of Dirac cones and the formation of a photonic Floquet topological insulator can be shut down by the third-order nonlinear susceptibility and opened up by the fifth-order one.