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 …

Thermalization is the inevitable fate of many complex quantum systems, whose dynamics
allow them to fully explore the vast configuration space regardless of the initial state—the …

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 …

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Experimental advances have allowed for the exploration of nearly isolated quantum many-
body systems whose coupling to an external bath is very weak. A particularly interesting …

We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …

We consider quantum many-body dynamics under quantum measurements, where the
measurement-induced phase transitions (MIPs) occur when changing the frequency of the …

We present a detailed analysis of the length-and timescales needed to approach the critical
region of MBL from the delocalised phase, studying both eigenstates and the time evolution …

Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …