# 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…

## 28 Citations

### Observation of Floquet solitons in a topological bandgap

- PhysicsScience
- 2020

This work experimentally observed solitons—waves that propagate without changing shape as a result of nonlinearity—in a photonic Floquet topological insulator, and exhibited distinct behavior in that they executed cyclotron-like orbits associated with the underlying topology.

### Floquet Quadrupole Photonic Crystals Protected by Space-Time Symmetry.

- PhysicsPhysical review letters
- 2022

High-order topological phases, such as those with nontrivial quadrupole moments [1,2], protect edge states that are themselves topological insulators in lower dimensions. So far, most quadrupole…

### Topological wave insulators: a review

- PhysicsComptes Rendus. Physique
- 2020

Originally discovered in condensed matter systems, topological insulators (TIs) have been ubiquitously extended to various fields of classical wave physics including photonics, phononics, acoustics,…

### Non-Floquet engineering in periodically driven dissipative open quantum systems

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2022

Floquet engineering plays a key role in realizing novel dynamical topological states. The conventional Floquet engineering, however, only applies to time-periodic non-dissipative Hermitian systems,…

### Non-Hermitian and topological photonics: optics at an exceptional point

- PhysicsFrontiers in Optics and Photonics
- 2020

Abstract In the past few years, concepts from non-Hermitian (NH) physics, originally developed within the context of quantum field theories, have been successfully deployed over a wide range of…

### Optically Reconfigurable Spin-Valley Hall Effect of Light in Coupled Nonlinear Ring Resonator Lattice.

- PhysicsPhysical review letters
- 2021

It is demonstrated that both degrees of freedom, i.e., spin and valley, can be manipulated simultaneously in a reconfigurable manner to realize spin-valley photonics, doubling the degrees offreedom for enhancing the information capacity in optical communication systems.

### Revealing non-Hermitian band structure of photonic Floquet media

- PhysicsScience advances
- 2022

Periodically driven systems are ubiquitously found in both classical and quantum regimes. In the field of photonics, these Floquet systems have begun to provide insight into how time periodicity can…

### Nonreciprocal photonic topological order driven by uniform optical pumping

- Physics
- 2020

Photonic topological insulators (PTIs) have raised significant interest in recent years, in part because of their protected edge propagation. Most PTI realizations have been based on reciprocal…

### Non-Hermitian waves in a continuous periodic model and application to photonic crystals

- PhysicsPhysical Review Research
- 2022

In some non-Hermitian systems, the eigenstates in the bulk are localized at the boundaries of the systems. This is called the non-Hermitian skin eﬀect, and it has been studied mostly in discrete…

### Floquet engineering of multifold fermions

- PhysicsPhysical Review B
- 2020

Using Floquet theory, we investigate the effect of light on triple fold fermions. We study a low energy model as well as a simplified tight binding model under illumination. We find that the three…

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