Band structure engineering and non-equilibrium dynamics in Floquet topological insulators

MS Rudner, NH Lindner - Nature reviews physics, 2020 - nature.com
Non-equilibrium topological phenomena can be induced in quantum many-body systems
using time-periodic fields (for example, by laser or microwave illumination). This Review …

Low-frequency and Moiré–Floquet engineering: A review

M Rodriguez-Vega, M Vogl, GA Fiete - Annals of Physics, 2021 - Elsevier
We review recent work on low-frequency Floquet engineering and its application to quantum
materials driven by light, focusing on van der Waals systems hosting Moiré superlattices …

Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons

F Cardano, A D'Errico, A Dauphin, M Maffei… - Nature …, 2017 - nature.com
Topological insulators are fascinating states of matter exhibiting protected edge states and
robust quantized features in their bulk. Here we propose and validate experimentally a …

Perspective on topological states of non-Hermitian lattices

LEFF Torres - Journal of Physics: Materials, 2019 - iopscience.iop.org
The search of topological states in non-Hermitian systems has gained a strong momentum
over the last two years climbing to the level of an emergent research front. In this perspective …

Controlling topological phases of matter with quantum light

O Dmytruk, M Schirò - Communications Physics, 2022 - nature.com
Controlling the topological properties of quantum matter is a major goal of condensed matter
physics. A major effort in this direction has been devoted to using classical light in the form of …

Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects

S Yao, Z Yan, Z Wang - Physical Review B, 2017 - APS
Periodically driven (Floquet) systems have been under active theoretical and experimental
investigations. This paper aims at a systematic study in the following aspects of Floquet …

Observation of Anomalous Modes in Photonic Floquet Engineering

Q Cheng, Y Pan, H Wang, C Zhang, D Yu, A Gover… - Physical review …, 2019 - APS
Recent progress on Floquet topological phases has shed new light on time-dependant
quantum systems, among which one-dimensional (1D) Floquet systems have been under …

Topological characterizations of an extended Su–Schrieffer–Heeger model

D Xie, W Gou, T Xiao, B Gadway, B Yan - npj Quantum Information, 2019 - nature.com
Abstract The Su–Schrieffer–Heeger (SSH) model perhaps is the easiest and the most basic
model for topological excitations. Many variations and extensions of the SSH model have …

Majorana bound states in semiconducting nanostructures

K Laubscher, J Klinovaja - Journal of Applied Physics, 2021 - pubs.aip.org
In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising
in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain …

Floquet topological phase transitions in a periodically quenched dimer

M Jangjan, LEF Foa Torres, MV Hosseini - Physical Review B, 2022 - APS
We report on the theoretical investigation of the topological properties of a periodically
quenched one-dimensional dimerized lattice where a piecewise constant Hamiltonian …