# Floquet Engineering of Quantum Materials

@article{Oka2019FloquetEO, title={Floquet Engineering of Quantum Materials}, author={Takashi Oka and Sota Kitamura}, journal={Annual Review of Condensed Matter Physics}, year={2019} }

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics dating back to ideas such as the inverse Faraday effect. However, there is a renewed interest in this concept owing to ( a) the rapid developments in laser and ultrafast spectroscopy techniques, ( b) discovery and understanding of various “quantum materials” hosting interesting exotic quantum properties, and ( c) communication with different areas of physics such as…

## 367 Citations

### Quantum to classical crossover of Floquet engineering in correlated quantum systems

- Physics
- 2020

Light-matter coupling involving classical and quantum light offers a wide range of possibilities to tune the electronic properties of correlated quantum materials. Two paradigmatic results are the…

### Floquet States in Open Quantum Systems

- PhysicsAnnual Review of Condensed Matter Physics
- 2022

In Floquet engineering, periodic driving is used to realize novel phases of matter that are inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe for…

### Tailoring quantum gases by Floquet engineering

- PhysicsNature Physics
- 2021

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices,…

### Floquet engineering of optical nonlinearities: a quantum many-body approach

- Physics
- 2022

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of…

### Electronic Floquet gyro-liquid crystal

- PhysicsNature communications
- 2021

It is demonstrated that coherent driving can be used to induce non-equilibrium quantum phases of matter with dynamical broken symmetry in lightly doped semiconductors.

### Topological Pumping in a Floquet-Bloch Band.

- PhysicsPhysical review letters
- 2022

Constructing new topological materials is of vital interest for the development of robust quantum applications. However, engineering such materials often causes technological overhead, such as large…

### Suppressing Dissipation in a Floquet-Hubbard System

- Physics
- 2020

The concept of `Floquet engineering' relies on an external periodic drive to realise novel, effectively static Hamiltonians. This technique is being explored in experimental platforms across physics,…

### Moir\'e-Floquet engineering of quantum materials: a review

- Physics
- 2020

We review recent work on quantum materials driven by light, emphasizing van der Waals systems hosting Moire superlattices. These non-equilibrium systems combine the twist-angle sensitivity of the…

### General description for nonequilibrium steady states in periodically driven dissipative quantum systems

- PhysicsScience Advances
- 2020

A generic solution for nonequilibrium steady states in periodically driven (Floquet) quantum systems by focusing on systems under high-frequency drive and time-independent Lindblad-type dissipation is derived.

### Topological Two-Dimensional Floquet Lattice on a Single Superconducting Qubit.

- PhysicsPhysical review letters
- 2021

This work implements quasiperiodic driving of a single qubit in the IBM Quantum Experience and experimentally realizes a temporal version of the half-Bernevig-Hughes-Zhang Chern insulator, and theoretically study the many-qubit case, and shows that one can implement a wide class of Floquet Hamiltonians, or time-dependent Hamiltonians in general.

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