The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

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 …

Time crystals are classified as discrete or continuous depending on whether they
spontaneously break discrete or continuous time translation symmetry. Although discrete …

The discrete time crystal (DTC) is a nonequilibrium phase of matter that spontaneously
breaks time-translation symmetry. Disorder-induced many-body localization can stabilize the …

We use the resonant dipole-dipole interaction between Rydberg atoms and a periodic
external microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena
that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete …

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 …

Many-body unitary dynamics interspersed with repeated measurements display a rich
phenomenology hallmarked by measurement-induced phase transitions. Employing …

Simulating the properties of many-body fermionic systems is an outstanding computational
challenge relevant to material science, quantum chemistry, and particle physics.-5.4 pc] …