This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

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

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 …

In Hilbert space, the geometry of the quantum state is identified by the quantum geometric
tensor (QGT), whose imaginary part is the Berry curvature and whose real part is the …

Semiconductor devices rely on the charge and spin of electrons, but there is another
electronic degree of freedom called pseudospin in a two-level quantum system such as a …

We propose a generic protocol to experimentally measure the quantum metric tensor, a
fundamental geometric property of quantum states. Our method is based on the observation …

I demonstrate the potential of reinforcement learning (RL) to prepare quantum states of
strongly periodically driven nonlinear single-particle models. The ability of Q-learning to …

After the discovery of graphene and of its many fascinating properties, there has been a
growing interest for the study of “artificial graphenes”. These are totally different and novel …

We reveal a continuous dynamical heating transition between a prethermal and an infinite-
temperature stage in a clean, chaotic periodically driven classical spin chain. The transition …

Performing a leading-order renormalization group analysis, here we compute the effects of
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …