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 …

After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

There have been significant recent advances in realizing band structures with geometrical
and topological features in experiments on cold atomic gases. This review summarizes …

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 …

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 …

In this work, we find that the complexity of quantum many-body states, defined as a spread in
the Krylov basis, may serve as a probe that distinguishes topological phases of matter. We …

Floquet engineering is the concept of tailoring a system by a periodic drive, and it is
increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a …

Abstract Machine-learning techniques such as artificial neural networks are currently
revolutionizing many technological areas and have also proven successful in quantum …

Cold atomic gases provide a remarkable testbed to study the physics of interacting many-
body quantum systems. Temperatures are necessarily nonzero, but cooling to the ultralow …

Weyl semimetals are three-dimensional (3D) gapless topological phases with Weyl cones in
the bulk band. According to lattice theory, Weyl cones must come in pairs, with the minimum …