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 …

Ultracold molecules confined in optical lattices or tweezer traps can be used to process
quantum information and simulate the behaviour of many-body quantum systems. Molecules …

Arrays of optically trapped atoms excited to Rydberg states have recently emerged as a
competitive physical platform for quantum simulation and computing, where high-fidelity …

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 …

Synthetic quantum systems with interacting constituents play an important role in quantum
information processing and in explaining fundamental phenomena in many-body physics …

Ultracold polar molecules are promising candidate qubits for quantum computing and
quantum simulations. Their long-lived molecular rotational states form robust qubits, and 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 …

Large-scale Rydberg atom arrays are used for highly coherent analogue quantum
simulations and for digital quantum computations. However, advanced quantum protocols …

Entanglement is crucial to many quantum applications, including quantum information
processing, quantum simulation, and quantum-enhanced sensing. Because of their rich …

Solid-state nuclear spins surrounding individual, optically addressable qubits, are a crucial
resource for quantum networks,,–, computation,,,–and simulation. Although hosts with …