# 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…

## 32 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…

### Coherent Interactions in One-Dimensional Topological Photonic Systems and Their Applications in All-Optical Logic Operation.

- PhysicsNano letters
- 2020

Coupled-waveguide arrays mapped to a one-dimensional Su-Schrieffer-Heeger system with two coupled topological interfaces are studied, finding this configuration greatly increases device versatility and tunability while keeping the confinement of coupled-interface modes inherited from the topological properties nearly intact.

### 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…

## References

SHOWING 1-10 OF 38 REFERENCES

### Observation of photonic anomalous Floquet topological insulators

- PhysicsNature communications
- 2017

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

- PhysicsNature
- 2013

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

- Physics
- 2011

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.

- PhysicsNature communications
- 2015

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 phases and nonreciprocal edge states in non-Hermitian Floquet insulators

- PhysicsPhysical Review B
- 2019

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological…

### Two-dimensional topological photonics

- Physics
- 2017

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

- PhysicsTopology in Optics (Second Edition)
- 2019

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.

- PhysicsPhysical review letters
- 2016

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

- Physics
- 2016

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

- PhysicsScience
- 2018

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.