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 …

Quantum theory provides an extensive framework for the description of the equilibrium
properties of quantum matter. Yet experiments in quantum simulators have now opened up …

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 the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

We theoretically study the dynamics of a transverse-field Ising chain with power-law
decaying interactions characterized by an exponent α, which can be experimentally realized …

Dynamical quantum phase transitions (DQPTs) at critical times appear as nonanalyticities
during nonequilibrium quantum real-time evolution. Although there is evidence for a close …

Using an infinite matrix product state (iMPS) technique based on the time-dependent
variational principle (TDVP), we study two major types of dynamical phase transitions (DPT) …

We introduce a topological quantum number—coined dynamical topological order
parameter (DTOP)—that is dynamically defined in the real-time evolution of a quantum many …

Out-of-time-ordered (OTO) correlators have developed into a central concept quantifying
quantum information transport, information scrambling, and quantum chaos. In this Letter …

Dynamical quantum phase transitions are closely related to equilibrium quantum phase
transitions for ground states. Here, we report an experimental observation of a dynamical …