Topological phases constitute an exotic form of matter characterized by non-local properties
rather than local order parameters. The paradigmatic Haldane model on a hexagonal lattice …

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 …

Integer-valued topological indices, characterizing nonlocal properties of quantum states of
matter, are known to directly predict robust physical properties of equilibrium systems. The …

Topological quantum states are characterized by nonlocal invariants. We present a new
dynamical approach for ultracold-atom systems to uncover their band topology, and we …

We show how the topological number of a static Hamiltonian can be measured from a
dynamical quench process. We focus on a two-band Chern insulator in two dimension, for …

Topological phase of matter is now a mainstream of research in condensed matter physics,
of which the classification, synthesis, and detection of topological states have brought …

We study the topological properties of one-dimensional systems undergoing unitary time
evolution. We show that symmetries possessed both by the initial wave function and by the …

We show how to define a dynamical topological invariant for one-dimensional two-band
topological systems after a quantum quench. By analyzing general two-band models of …

Despite previous extensive analysis of open quantum systems described by the Lindblad
equation, it is unclear whether correlated topological states, such as fractional quantum Hall …

Topological phases of matter span a wide area of research shaping fundamental pursuits
and offering promise for future applications. While a significant fraction of topological …