In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has
been known that driving a quantum two-level system results in tunneling between its states …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

The dynamics of quantum phase transitions pose one of the most challenging problems in
modern many-body physics. Here, we study a prototypical example in a clean and well …

Near a critical point, the equilibrium relaxation time of a system diverges and any change of
control/thermodynamic parameters leads to nonequilibrium behavior. The Kibble-Zurek …

We study the slow quenching dynamics (characterized by an inverse rate τ− 1) of a one-
dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across …

We explore the salient features of the'Kitaev ladder', a two-legged ladder version of the spin-
1/2 Kitaev model on a honeycomb lattice, by mapping it to a one-dimensional fermionic p …

When a system is driven across a quantum critical point at a constant rate, its evolution must
become nonadiabatic as the relaxation time τ diverges at the critical point. According to the …