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 …

Steady Floquet–Andreev states in graphene Josephson junctions

S Park, W Lee, S Jang, YB Choi, J Park, W Jung… - Nature, 2022 - nature.com
Engineering quantum states through light–matter interaction has created a paradigm in
condensed-matter physics. A representative example is the Floquet–Bloch state, which is …

Floquet higher-order topological insulators with anomalous dynamical polarization

B Huang, WV Liu - Physical Review Letters, 2020 - APS
Higher-order topological insulators (HOTIs) have emerged as a new class of phases, whose
robust in-gap “corner” modes arise from the bulk higher-order multipoles beyond the dipoles …

Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes

L Zhou - Physical Review B, 2020 - APS
Majorana edge modes are candidate elements of topological quantum computing. In this
paper, we propose a Floquet engineering approach to generate multiple non-Hermitian …

[HTML][HTML] Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter

DT Stephen, HP Nautrup, J Bermejo-Vega, J Eisert… - Quantum, 2019 - quantum-journal.org
Quantum phases of matter are resources for notions of quantum computation. In this work,
we establish a new link between concepts of quantum information theory and condensed …

Topological invariants for anomalous floquet higher-order topological insulators

B Huang - Frontiers of Physics, 2023 - Springer
We review the recent development in constructing higher-order topological band insulators
under strong periodic drivings. In particular, we focus on various approaches in formulating …

Microwave-induced conductance replicas in hybrid Josephson junctions without Floquet—Andreev states

DZ Haxell, M Coraiola, D Sabonis, M Hinderling… - Nature …, 2023 - nature.com
Light–matter coupling allows control and engineering of complex quantum states. Here we
investigate a hybrid superconducting–semiconducting Josephson junction subject to …

Topological braiding and virtual particles on the cell membrane

J Liu, JF Totz, PW Miller… - Proceedings of the …, 2021 - National Acad Sciences
Braiding of topological structures in complex matter fields provides a robust framework for
encoding and processing information, and it has been extensively studied in the context of …

Topological characterization and stability of Floquet Majorana modes in Rashba nanowires

D Mondal, AK Ghosh, T Nag, A Saha - Physical Review B, 2023 - APS
We theoretically investigate a practically realizable Floquet topological superconductor
model based on a one-dimensional Rashba nanowire and proximity-induced s-wave …

Observing and braiding topological Majorana modes on programmable quantum simulators

N Harle, O Shtanko, R Movassagh - Nature Communications, 2023 - nature.com
Electrons are indivisible elementary particles, yet paradoxically a collection of them can act
as a fraction of a single electron, exhibiting exotic and useful properties. One such collective …