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 …

The theory of phase transitions represents a central concept for the characterization of
equilibrium matter. In this work we study experimentally an extension of this theory to the …

Topological phases constitute an exotic form of matter characterized by non-local properties
rather than local order parameters. The paradigmatic Haldane model on a hexagonal lattice …

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 …

Micrometre-sized colloidal particles can be viewed as large atoms with tailorable size,
shape and interactions. These building blocks can assemble into extremely rich structures …

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 …

We study the nonequilibrium time evolution of a variety of one-dimensional (1D) and two-
dimensional (2D) systems (including SSH model, Kitaev-chain, Haldane model, p+ ip …