Quantum circuits—built from local unitary gates and local measurements—are a new
playground for quantum many-body physics and a tractable setting to explore universal …

Trapped ions are among the most promising systems for practical quantum computing (QC).
The basic requirements for universal QC have all been demonstrated with ions, and …

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 …

Spontaneous symmetry breaking is a fundamental concept in many areas of physics,
including cosmology, particle physics and condensed matter. An example is the breaking of …

The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

Understanding quantum dynamics away from equilibrium is an outstanding challenge in the
modern physical sciences. Out-of-equilibrium systems can display a rich variety of …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

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-classical hybrid algorithms are emerging as promising candidates for near-term
practical applications of quantum information processors in a wide variety of fields ranging …

A fundamental assumption in statistical physics is that generic closed quantum many-body
systems thermalize under their own dynamics. Recently, the emergence of many-body …