Coherent control via periodic modulation, also known as Floquet engineering, has emerged
as a powerful experimental method for the realization of novel quantum systems with exotic …

The last years have witnessed rapid progress in the topological characterization of out-of-
equilibrium systems. We report on robust signatures of a new type of topology—the Euler …

The bulk–boundary correspondence, a fundamental principle relating the topological
invariants of the bulk to the presence of edge states, is modified in periodically driven …

We propose a versatile framework to dynamically generate Floquet higher-order topological
insulators by multistep driving of topologically trivial Hamiltonians. Two analytically solvable …

Topological phases characterized by non-Abelian charges are beyond the scope of the
paradigmatic tenfold way and have gained increasing attention recently. Here we …

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 …

While a significant fraction of topological materials has been characterized using symmetry
requirements,,–, the past two years have witnessed the rise of novel multi-gap dependent …

We present a topological characterization of time-periodically driven two-band models in 2+
1 dimensions as Hopf insulators. The intrinsic periodicity of the Floquet system with respect …

Recent experiments began to explore the topological properties of quench dynamics, ie, the
time evolution following a sudden change in the Hamiltonian, via tomography of quantum …