Floquet Chern insulators of light

@article{He2019FloquetCI,
  title={Floquet Chern insulators of light},
  author={Li He and Zachariah Addison and Jicheng Jin and Eugene J. Mele and Steven G. Johnson and Bo Zhen},
  journal={Nature Communications},
  year={2019},
  volume={10}
}
Achieving topologically-protected robust transport in optical systems has recently been of great interest. Most studied topological photonic structures can be understood by solving the eigenvalue problem of Maxwell’s equations for static linear systems. Here, we extend topological phases into dynamically driven systems and achieve a Floquet Chern insulator of light in nonlinear photonic crystals (PhCs). Specifically, we start by presenting the Floquet eigenvalue problem in driven two… 

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References

SHOWING 1-10 OF 38 REFERENCES

Observation of photonic anomalous Floquet topological insulators

This work implements a system where chiral edge modes exist although the Chern numbers of all bands are zero, and employs periodically driven photonic waveguide lattices to demonstrate topologically protected scatter-free edge transport in such anomalous Floquet topological insulators.

Photonic Floquet topological insulators

This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.

Floquet topological insulator in semiconductor quantum wells

Topological phases of matter have captured our imagination over the past few years, with tantalizing properties such as robust edge modes and exotic non-Abelian excitations, and potential

Dynamical preparation of Floquet Chern insulators.

An exact study of the time evolution of a graphene-like system subjected to a circularly polarized electric field is presented and it is proved that for infinite (translationally invariant) systems the Chern number is conserved under unitary evolution.

Topological phase transitions and chiral inelastic transport induced by the squeezing of light

It is shown how the squeezing of light can lead to the formation of qualitatively new kinds of topological states, characterized by non-trivial Chern numbers, and exhibit protected edge modes, which give rise to chiral elastic and inelastic photon transport.

Two-dimensional topological photonics

Originating from the studies of two-dimensional condensed-matter states, the concept of topological order has recently been expanded to other fields of physics and engineering, particularly optics

Topological photonics

Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the

Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators.

Unlike previous designs, the effective gauge field strength can be controlled via lattice parameters such as the interhelix distance, significantly reducing radiative losses and enabling applications such as switchable topological waveguiding.

Topological Quantum Fluctuations and Traveling Wave Amplifiers

It is now well-established that photonic systems can exhibit topological energy bands; similar to their electronic counterparts, this leads to the formation of chiral edge modes which can be used to

Observation of bulk Fermi arc and polarization half charge from paired exceptional points

This work theoretically proposed and experimentally demonstrated a bulk Fermi arc that develops from non-Hermitian radiative losses in an open system of photonic crystal slabs, and discovers half-integer topological charges in the polarization of far-field radiation around the bulk Fermani arc.