We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

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 scrambling in connection with multipartite entanglement dynamics in regular and
chaotic long-range spin chains, characterized by a well-defined semi-classical limit. For …

A spectral neighbor analysis (SNAP) machine learning interatomic potential (MLIP) has
been developed for simulations of carbon at extreme pressures (up to 5 TPa) and …

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 …

In closed quantum systems, dynamical phase transitions are identified by the nonanalytic
behavior of the return probability as a function of time. In this work, we study the nonunitary …

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 …

The Loschmidt echo is a purely quantum-mechanical quantity whose determination for large
quantum many-body systems requires an exceptionally precise knowledge of all eigenstates …

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 …

Dissipative time crystals can appear in spin systems, when the Z 2 symmetry of the
Hamiltonian is broken by the environment, and the square of total spin operator S 2 is …