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 …

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 study dynamical phase transitions (DPTs) in quantum many-body systems with infinite-
range interaction, and present a theory connecting the two kinds of known DPTs (sometimes …

We study the nonequilibrium phase diagram and the dynamical phase transitions occurring
during the prethermalization of nonintegrable quantum spin chains, subject to either …

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in
the Brillouin zone. Differently, in the Creutz model—describing a system of spinless fermions …

We investigate how symmetries and conserved quantities relate to the occurrence of the
boundary time crystal (BTC) phase in a generalized spin model with Lindblad dissipation …

Quantum phase transitions universally exist in the ground and excited states of quantum
many-body systems, and they have a close relationship with the nonequilibrium dynamical …

We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I
and DPT-II, based on a minimal set of symmetry assumptions. In the special case of …

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 …

Within the ultimate goal of classifying universality in quantum many-body dynamics,
understanding the relation between out-of-equilibrium and equilibrium criticality is a crucial …