A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

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 …

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 …

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 …

Strongly coupled gauge theories far from equilibrium may exhibit unique features that could
illuminate the physics of the early universe and of hadron and ion colliders. Studying real …

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 …

Signaled by nonanalyticities in the time evolution of physical observables, dynamic quantum
phase transitions (DQPTs) emerge in quench dynamics of topological systems and possess …

We study the open quantum dynamics of the Sachdev-Ye-Kitaev (SYK) model described by
the Lindblad master equation, where the SYK model is coupled to Markovian reservoirs with …